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Finding the Fourth Proportional to 7,146.60, 10,706.92 and 6,991.08

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Solution

The fourth proportional to 7,146.60, 10,706.92 and 6,991.08 is: 10,473.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.60 : 10,706.92 = 6,991.08 : x
  2. Step 2: Convert to fraction form
    7,146.60/10,706.92 = 6,991.08/x
  3. Step 3: Cross multiply
    7,146.60x = 10,706.92 × 6,991.08
  4. Step 4: Simplify right side
    7,146.60x = 74,852,934.27
  5. Step 5: Solve for x
    x = 74,852,934.27/7,146.60
  6. Step 6: Final answer
    x = 10,473.92

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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.