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Finding the Fourth Proportional to 6,988.90, 9,644.72 and 3,802.24

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Solution

The fourth proportional to 6,988.90, 9,644.72 and 3,802.24 is: 5,247.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.90 : 9,644.72 = 3,802.24 : x
  2. Step 2: Convert to fraction form
    6,988.90/9,644.72 = 3,802.24/x
  3. Step 3: Cross multiply
    6,988.90x = 9,644.72 × 3,802.24
  4. Step 4: Simplify right side
    6,988.90x = 36,671,540.17
  5. Step 5: Solve for x
    x = 36,671,540.17/6,988.90
  6. Step 6: Final answer
    x = 5,247.11

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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.