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Finding the Fourth Proportional to 12,535.39, 17,298.40 and 6,870

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Solution

The fourth proportional to 12,535.39, 17,298.40 and 6,870 is: 9,480.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.39 : 17,298.40 = 6,870 : x
  2. Step 2: Convert to fraction form
    12,535.39/17,298.40 = 6,870/x
  3. Step 3: Cross multiply
    12,535.39x = 17,298.40 × 6,870
  4. Step 4: Simplify right side
    12,535.39x = 118,840,008.00
  5. Step 5: Solve for x
    x = 118,840,008.00/12,535.39
  6. Step 6: Final answer
    x = 9,480.36

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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.