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Finding the Fourth Proportional to 6,117.31, 9,230.65 and 6,117.31

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Solution

The fourth proportional to 6,117.31, 9,230.65 and 6,117.31 is: 9,230.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.31 : 9,230.65 = 6,117.31 : x
  2. Step 2: Convert to fraction form
    6,117.31/9,230.65 = 6,117.31/x
  3. Step 3: Cross multiply
    6,117.31x = 9,230.65 × 6,117.31
  4. Step 4: Simplify right side
    6,117.31x = 56,466,747.55
  5. Step 5: Solve for x
    x = 56,466,747.55/6,117.31
  6. Step 6: Final answer
    x = 9,230.65

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1.5x scale

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.