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Finding the Fourth Proportional to 6,342.57, 9,506.57 and 4,260.06

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Solution

The fourth proportional to 6,342.57, 9,506.57 and 4,260.06 is: 6,385.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.57 : 9,506.57 = 4,260.06 : x
  2. Step 2: Convert to fraction form
    6,342.57/9,506.57 = 4,260.06/x
  3. Step 3: Cross multiply
    6,342.57x = 9,506.57 × 4,260.06
  4. Step 4: Simplify right side
    6,342.57x = 40,498,537.29
  5. Step 5: Solve for x
    x = 40,498,537.29/6,342.57
  6. Step 6: Final answer
    x = 6,385.19

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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.