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Finding the Fourth Proportional to 6,506.01, 9,711.95 and 5,717.79

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Solution

The fourth proportional to 6,506.01, 9,711.95 and 5,717.79 is: 8,535.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.01 : 9,711.95 = 5,717.79 : x
  2. Step 2: Convert to fraction form
    6,506.01/9,711.95 = 5,717.79/x
  3. Step 3: Cross multiply
    6,506.01x = 9,711.95 × 5,717.79
  4. Step 4: Simplify right side
    6,506.01x = 55,530,862.00
  5. Step 5: Solve for x
    x = 55,530,862.00/6,506.01
  6. Step 6: Final answer
    x = 8,535.32

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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.