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Finding the Fourth Proportional to 7,160.64, 9,882 and 5,065.44

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Solution

The fourth proportional to 7,160.64, 9,882 and 5,065.44 is: 6,990.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.64 : 9,882 = 5,065.44 : x
  2. Step 2: Convert to fraction form
    7,160.64/9,882 = 5,065.44/x
  3. Step 3: Cross multiply
    7,160.64x = 9,882 × 5,065.44
  4. Step 4: Simplify right side
    7,160.64x = 50,056,678.08
  5. Step 5: Solve for x
    x = 50,056,678.08/7,160.64
  6. Step 6: Final answer
    x = 6,990.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.