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Finding the Fourth Proportional to 10,502.64, 15,735.42 and 9,358.56

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Solution

The fourth proportional to 10,502.64, 15,735.42 and 9,358.56 is: 14,021.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.64 : 15,735.42 = 9,358.56 : x
  2. Step 2: Convert to fraction form
    10,502.64/15,735.42 = 9,358.56/x
  3. Step 3: Cross multiply
    10,502.64x = 15,735.42 × 9,358.56
  4. Step 4: Simplify right side
    10,502.64x = 147,260,872.20
  5. Step 5: Solve for x
    x = 147,260,872.20/10,502.64
  6. Step 6: Final answer
    x = 14,021.32

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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.