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Finding the Fourth Proportional to 10,358.53, 14,294.94 and 5,882.20

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Solution

The fourth proportional to 10,358.53, 14,294.94 and 5,882.20 is: 8,117.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.53 : 14,294.94 = 5,882.20 : x
  2. Step 2: Convert to fraction form
    10,358.53/14,294.94 = 5,882.20/x
  3. Step 3: Cross multiply
    10,358.53x = 14,294.94 × 5,882.20
  4. Step 4: Simplify right side
    10,358.53x = 84,085,696.07
  5. Step 5: Solve for x
    x = 84,085,696.07/10,358.53
  6. Step 6: Final answer
    x = 8,117.53

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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.