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Finding the Fourth Proportional to 5,292.84, 7,939.64 and 1,397.16

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Solution

The fourth proportional to 5,292.84, 7,939.64 and 1,397.16 is: 2,095.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.84 : 7,939.64 = 1,397.16 : x
  2. Step 2: Convert to fraction form
    5,292.84/7,939.64 = 1,397.16/x
  3. Step 3: Cross multiply
    5,292.84x = 7,939.64 × 1,397.16
  4. Step 4: Simplify right side
    5,292.84x = 11,092,947.42
  5. Step 5: Solve for x
    x = 11,092,947.42/5,292.84
  6. Step 6: Final answer
    x = 2,095.84

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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.