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Finding the Fourth Proportional to 9,569.56, 14,270.60 and 9,482.08

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Solution

The fourth proportional to 9,569.56, 14,270.60 and 9,482.08 is: 14,140.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.56 : 14,270.60 = 9,482.08 : x
  2. Step 2: Convert to fraction form
    9,569.56/14,270.60 = 9,482.08/x
  3. Step 3: Cross multiply
    9,569.56x = 14,270.60 × 9,482.08
  4. Step 4: Simplify right side
    9,569.56x = 135,314,970.85
  5. Step 5: Solve for x
    x = 135,314,970.85/9,569.56
  6. Step 6: Final answer
    x = 14,140.15

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.