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Finding the Fourth Proportional to 6,785.57, 10,111.71 and 6,562.59

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Solution

The fourth proportional to 6,785.57, 10,111.71 and 6,562.59 is: 9,779.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.57 : 10,111.71 = 6,562.59 : x
  2. Step 2: Convert to fraction form
    6,785.57/10,111.71 = 6,562.59/x
  3. Step 3: Cross multiply
    6,785.57x = 10,111.71 × 6,562.59
  4. Step 4: Simplify right side
    6,785.57x = 66,359,006.93
  5. Step 5: Solve for x
    x = 66,359,006.93/6,785.57
  6. Step 6: Final answer
    x = 9,779.44

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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.