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Finding the Fourth Proportional to 10,424.46, 15,624.08 and 7,287.32

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Solution

The fourth proportional to 10,424.46, 15,624.08 and 7,287.32 is: 10,922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.46 : 15,624.08 = 7,287.32 : x
  2. Step 2: Convert to fraction form
    10,424.46/15,624.08 = 7,287.32/x
  3. Step 3: Cross multiply
    10,424.46x = 15,624.08 × 7,287.32
  4. Step 4: Simplify right side
    10,424.46x = 113,857,670.67
  5. Step 5: Solve for x
    x = 113,857,670.67/10,424.46
  6. Step 6: Final answer
    x = 10,922.16

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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.