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Finding the Fourth Proportional to 10,539.60, 15,809.40 and 7,213.20

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Solution

The fourth proportional to 10,539.60, 15,809.40 and 7,213.20 is: 10,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.60 : 15,809.40 = 7,213.20 : x
  2. Step 2: Convert to fraction form
    10,539.60/15,809.40 = 7,213.20/x
  3. Step 3: Cross multiply
    10,539.60x = 15,809.40 × 7,213.20
  4. Step 4: Simplify right side
    10,539.60x = 114,036,364.08
  5. Step 5: Solve for x
    x = 114,036,364.08/10,539.60
  6. Step 6: Final answer
    x = 10,819.80

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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.