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Finding the Fourth Proportional to 6,931.71, 9,560.25 and 6,135.84

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Solution

The fourth proportional to 6,931.71, 9,560.25 and 6,135.84 is: 8,462.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.71 : 9,560.25 = 6,135.84 : x
  2. Step 2: Convert to fraction form
    6,931.71/9,560.25 = 6,135.84/x
  3. Step 3: Cross multiply
    6,931.71x = 9,560.25 × 6,135.84
  4. Step 4: Simplify right side
    6,931.71x = 58,660,164.36
  5. Step 5: Solve for x
    x = 58,660,164.36/6,931.71
  6. Step 6: Final answer
    x = 8,462.58

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1.5x scale

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.