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Finding the Fourth Proportional to 9,712.60, 14,549.70 and 5,322.20

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Solution

The fourth proportional to 9,712.60, 14,549.70 and 5,322.20 is: 7,972.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.60 : 14,549.70 = 5,322.20 : x
  2. Step 2: Convert to fraction form
    9,712.60/14,549.70 = 5,322.20/x
  3. Step 3: Cross multiply
    9,712.60x = 14,549.70 × 5,322.20
  4. Step 4: Simplify right side
    9,712.60x = 77,436,413.34
  5. Step 5: Solve for x
    x = 77,436,413.34/9,712.60
  6. Step 6: Final answer
    x = 7,972.78

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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.