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Finding the Fourth Proportional to 6,459.16, 9,737.02 and 6,030.52

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Solution

The fourth proportional to 6,459.16, 9,737.02 and 6,030.52 is: 9,090.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.16 : 9,737.02 = 6,030.52 : x
  2. Step 2: Convert to fraction form
    6,459.16/9,737.02 = 6,030.52/x
  3. Step 3: Cross multiply
    6,459.16x = 9,737.02 × 6,030.52
  4. Step 4: Simplify right side
    6,459.16x = 58,719,293.85
  5. Step 5: Solve for x
    x = 58,719,293.85/6,459.16
  6. Step 6: Final answer
    x = 9,090.86

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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.