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Finding the Fourth Proportional to 9,612.52, 14,412.84 and 3,762.28

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Solution

The fourth proportional to 9,612.52, 14,412.84 and 3,762.28 is: 5,641.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.52 : 14,412.84 = 3,762.28 : x
  2. Step 2: Convert to fraction form
    9,612.52/14,412.84 = 3,762.28/x
  3. Step 3: Cross multiply
    9,612.52x = 14,412.84 × 3,762.28
  4. Step 4: Simplify right side
    9,612.52x = 54,225,139.68
  5. Step 5: Solve for x
    x = 54,225,139.68/9,612.52
  6. Step 6: Final answer
    x = 5,641.10

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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.