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Finding the Fourth Proportional to 10,710.92, 14,762.16 and 9,036.56

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Solution

The fourth proportional to 10,710.92, 14,762.16 and 9,036.56 is: 12,454.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.92 : 14,762.16 = 9,036.56 : x
  2. Step 2: Convert to fraction form
    10,710.92/14,762.16 = 9,036.56/x
  3. Step 3: Cross multiply
    10,710.92x = 14,762.16 × 9,036.56
  4. Step 4: Simplify right side
    10,710.92x = 133,399,144.57
  5. Step 5: Solve for x
    x = 133,399,144.57/10,710.92
  6. Step 6: Final answer
    x = 12,454.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.