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Finding the Fourth Proportional to 10,700.60, 14,770.88 and 9,579.53

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Solution

The fourth proportional to 10,700.60, 14,770.88 and 9,579.53 is: 13,223.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.60 : 14,770.88 = 9,579.53 : x
  2. Step 2: Convert to fraction form
    10,700.60/14,770.88 = 9,579.53/x
  3. Step 3: Cross multiply
    10,700.60x = 14,770.88 × 9,579.53
  4. Step 4: Simplify right side
    10,700.60x = 141,497,966.33
  5. Step 5: Solve for x
    x = 141,497,966.33/10,700.60
  6. Step 6: Final answer
    x = 13,223.37

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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.