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Finding the Fourth Proportional to 8,374.48, 12,572.64 and 7,084.14

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Solution

The fourth proportional to 8,374.48, 12,572.64 and 7,084.14 is: 10,635.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.48 : 12,572.64 = 7,084.14 : x
  2. Step 2: Convert to fraction form
    8,374.48/12,572.64 = 7,084.14/x
  3. Step 3: Cross multiply
    8,374.48x = 12,572.64 × 7,084.14
  4. Step 4: Simplify right side
    8,374.48x = 89,066,341.93
  5. Step 5: Solve for x
    x = 89,066,341.93/8,374.48
  6. Step 6: Final answer
    x = 10,635.45

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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.