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Finding the Fourth Proportional to 9,925.64, 13,697.64 and 5,677.28

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Solution

The fourth proportional to 9,925.64, 13,697.64 and 5,677.28 is: 7,834.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,925.64 : 13,697.64 = 5,677.28 : x
  2. Step 2: Convert to fraction form
    9,925.64/13,697.64 = 5,677.28/x
  3. Step 3: Cross multiply
    9,925.64x = 13,697.64 × 5,677.28
  4. Step 4: Simplify right side
    9,925.64x = 77,765,337.62
  5. Step 5: Solve for x
    x = 77,765,337.62/9,925.64
  6. Step 6: Final answer
    x = 7,834.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.