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Finding the Fourth Proportional to 7,700.88, 11,495.62 and 6,766.71

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Solution

The fourth proportional to 7,700.88, 11,495.62 and 6,766.71 is: 10,101.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.88 : 11,495.62 = 6,766.71 : x
  2. Step 2: Convert to fraction form
    7,700.88/11,495.62 = 6,766.71/x
  3. Step 3: Cross multiply
    7,700.88x = 11,495.62 × 6,766.71
  4. Step 4: Simplify right side
    7,700.88x = 77,787,526.81
  5. Step 5: Solve for x
    x = 77,787,526.81/7,700.88
  6. Step 6: Final answer
    x = 10,101.12

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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.