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Finding the Fourth Proportional to 6,840.97, 10,248.05 and 6,097.13

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Solution

The fourth proportional to 6,840.97, 10,248.05 and 6,097.13 is: 9,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.97 : 10,248.05 = 6,097.13 : x
  2. Step 2: Convert to fraction form
    6,840.97/10,248.05 = 6,097.13/x
  3. Step 3: Cross multiply
    6,840.97x = 10,248.05 × 6,097.13
  4. Step 4: Simplify right side
    6,840.97x = 62,483,693.10
  5. Step 5: Solve for x
    x = 62,483,693.10/6,840.97
  6. Step 6: Final answer
    x = 9,133.75

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1.5x scale

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.