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Finding the Fourth Proportional to 8,600.40, 12,864.60 and 7,729.20

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Solution

The fourth proportional to 8,600.40, 12,864.60 and 7,729.20 is: 11,561.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,600.40 : 12,864.60 = 7,729.20 : x
  2. Step 2: Convert to fraction form
    8,600.40/12,864.60 = 7,729.20/x
  3. Step 3: Cross multiply
    8,600.40x = 12,864.60 × 7,729.20
  4. Step 4: Simplify right side
    8,600.40x = 99,433,066.32
  5. Step 5: Solve for x
    x = 99,433,066.32/8,600.40
  6. Step 6: Final answer
    x = 11,561.45

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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.