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Finding the Fourth Proportional to 6,439.16, 9,700.60 and 6,358.52

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Solution

The fourth proportional to 6,439.16, 9,700.60 and 6,358.52 is: 9,579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.16 : 9,700.60 = 6,358.52 : x
  2. Step 2: Convert to fraction form
    6,439.16/9,700.60 = 6,358.52/x
  3. Step 3: Cross multiply
    6,439.16x = 9,700.60 × 6,358.52
  4. Step 4: Simplify right side
    6,439.16x = 61,681,459.11
  5. Step 5: Solve for x
    x = 61,681,459.11/6,439.16
  6. Step 6: Final answer
    x = 9,579.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.