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Finding the Fourth Proportional to 6,587.73, 9,834.62 and 6,357.06

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Solution

The fourth proportional to 6,587.73, 9,834.62 and 6,357.06 is: 9,490.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.73 : 9,834.62 = 6,357.06 : x
  2. Step 2: Convert to fraction form
    6,587.73/9,834.62 = 6,357.06/x
  3. Step 3: Cross multiply
    6,587.73x = 9,834.62 × 6,357.06
  4. Step 4: Simplify right side
    6,587.73x = 62,519,237.63
  5. Step 5: Solve for x
    x = 62,519,237.63/6,587.73
  6. Step 6: Final answer
    x = 9,490.26

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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.