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Finding the Fourth Proportional to 10,722.47, 14,801.35 and 6,948.88

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Solution

The fourth proportional to 10,722.47, 14,801.35 and 6,948.88 is: 9,592.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.47 : 14,801.35 = 6,948.88 : x
  2. Step 2: Convert to fraction form
    10,722.47/14,801.35 = 6,948.88/x
  3. Step 3: Cross multiply
    10,722.47x = 14,801.35 × 6,948.88
  4. Step 4: Simplify right side
    10,722.47x = 102,852,776.67
  5. Step 5: Solve for x
    x = 102,852,776.67/10,722.47
  6. Step 6: Final answer
    x = 9,592.26

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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.