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Finding the Fourth Proportional to 24,314.04, 36,471 and 6,783.96

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Solution

The fourth proportional to 24,314.04, 36,471 and 6,783.96 is: 10,175.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,314.04 : 36,471 = 6,783.96 : x
  2. Step 2: Convert to fraction form
    24,314.04/36,471 = 6,783.96/x
  3. Step 3: Cross multiply
    24,314.04x = 36,471 × 6,783.96
  4. Step 4: Simplify right side
    24,314.04x = 247,417,805.16
  5. Step 5: Solve for x
    x = 247,417,805.16/24,314.04
  6. Step 6: Final answer
    x = 10,175.92

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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.