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Finding the Fourth Proportional to 6,165.70, 9,258.45 and 5,710.90

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Solution

The fourth proportional to 6,165.70, 9,258.45 and 5,710.90 is: 8,575.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.70 : 9,258.45 = 5,710.90 : x
  2. Step 2: Convert to fraction form
    6,165.70/9,258.45 = 5,710.90/x
  3. Step 3: Cross multiply
    6,165.70x = 9,258.45 × 5,710.90
  4. Step 4: Simplify right side
    6,165.70x = 52,874,082.11
  5. Step 5: Solve for x
    x = 52,874,082.11/6,165.70
  6. Step 6: Final answer
    x = 8,575.52

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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.