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Finding the Fourth Proportional to 7,701.07, 11,495.90 and 6,766.89

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Solution

The fourth proportional to 7,701.07, 11,495.90 and 6,766.89 is: 10,101.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.07 : 11,495.90 = 6,766.89 : x
  2. Step 2: Convert to fraction form
    7,701.07/11,495.90 = 6,766.89/x
  3. Step 3: Cross multiply
    7,701.07x = 11,495.90 × 6,766.89
  4. Step 4: Simplify right side
    7,701.07x = 77,791,490.75
  5. Step 5: Solve for x
    x = 77,791,490.75/7,701.07
  6. Step 6: Final answer
    x = 10,101.39

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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.