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Finding the Fourth Proportional to 6,310.53, 9,417.17 and 5,542.65

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Solution

The fourth proportional to 6,310.53, 9,417.17 and 5,542.65 is: 8,271.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.53 : 9,417.17 = 5,542.65 : x
  2. Step 2: Convert to fraction form
    6,310.53/9,417.17 = 5,542.65/x
  3. Step 3: Cross multiply
    6,310.53x = 9,417.17 × 5,542.65
  4. Step 4: Simplify right side
    6,310.53x = 52,196,091.16
  5. Step 5: Solve for x
    x = 52,196,091.16/6,310.53
  6. Step 6: Final answer
    x = 8,271.27

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.