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Finding the Fourth Proportional to 10,472.02, 15,710.22 and 9,426.40

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Solution

The fourth proportional to 10,472.02, 15,710.22 and 9,426.40 is: 14,141.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.02 : 15,710.22 = 9,426.40 : x
  2. Step 2: Convert to fraction form
    10,472.02/15,710.22 = 9,426.40/x
  3. Step 3: Cross multiply
    10,472.02x = 15,710.22 × 9,426.40
  4. Step 4: Simplify right side
    10,472.02x = 148,090,817.81
  5. Step 5: Solve for x
    x = 148,090,817.81/10,472.02
  6. Step 6: Final answer
    x = 14,141.57

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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.