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Finding the Fourth Proportional to 7,710.60, 11,578.92 and 7,316.04

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Solution

The fourth proportional to 7,710.60, 11,578.92 and 7,316.04 is: 10,986.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.60 : 11,578.92 = 7,316.04 : x
  2. Step 2: Convert to fraction form
    7,710.60/11,578.92 = 7,316.04/x
  3. Step 3: Cross multiply
    7,710.60x = 11,578.92 × 7,316.04
  4. Step 4: Simplify right side
    7,710.60x = 84,711,841.88
  5. Step 5: Solve for x
    x = 84,711,841.88/7,710.60
  6. Step 6: Final answer
    x = 10,986.41

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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.