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Finding the Fourth Proportional to 9,677.06, 14,435.23 and 9,353.12

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Solution

The fourth proportional to 9,677.06, 14,435.23 and 9,353.12 is: 13,952.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.06 : 14,435.23 = 9,353.12 : x
  2. Step 2: Convert to fraction form
    9,677.06/14,435.23 = 9,353.12/x
  3. Step 3: Cross multiply
    9,677.06x = 14,435.23 × 9,353.12
  4. Step 4: Simplify right side
    9,677.06x = 135,014,391.65
  5. Step 5: Solve for x
    x = 135,014,391.65/9,677.06
  6. Step 6: Final answer
    x = 13,952.01

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Half scale
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Double scale
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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.