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Finding the Fourth Proportional to 6,545.23, 9,037.86 and 6,070.36

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Solution

The fourth proportional to 6,545.23, 9,037.86 and 6,070.36 is: 8,382.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.23 : 9,037.86 = 6,070.36 : x
  2. Step 2: Convert to fraction form
    6,545.23/9,037.86 = 6,070.36/x
  3. Step 3: Cross multiply
    6,545.23x = 9,037.86 × 6,070.36
  4. Step 4: Simplify right side
    6,545.23x = 54,863,064.00
  5. Step 5: Solve for x
    x = 54,863,064.00/6,545.23
  6. Step 6: Final answer
    x = 8,382.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.