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Finding the Fourth Proportional to 9,623.70, 14,435.55 and 9,089.10

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Solution

The fourth proportional to 9,623.70, 14,435.55 and 9,089.10 is: 13,633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623.70 : 14,435.55 = 9,089.10 : x
  2. Step 2: Convert to fraction form
    9,623.70/14,435.55 = 9,089.10/x
  3. Step 3: Cross multiply
    9,623.70x = 14,435.55 × 9,089.10
  4. Step 4: Simplify right side
    9,623.70x = 131,206,157.51
  5. Step 5: Solve for x
    x = 131,206,157.51/9,623.70
  6. Step 6: Final answer
    x = 13,633.65

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.