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Finding the Fourth Proportional to 8,437.34, 12,656.00 and 6,585.68

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Solution

The fourth proportional to 8,437.34, 12,656.00 and 6,585.68 is: 9,878.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.34 : 12,656.00 = 6,585.68 : x
  2. Step 2: Convert to fraction form
    8,437.34/12,656.00 = 6,585.68/x
  3. Step 3: Cross multiply
    8,437.34x = 12,656.00 × 6,585.68
  4. Step 4: Simplify right side
    8,437.34x = 83,348,319.26
  5. Step 5: Solve for x
    x = 83,348,319.26/8,437.34
  6. Step 6: Final answer
    x = 9,878.51

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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.