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Finding the Fourth Proportional to 10,597.60, 15,896.40 and 5,348.80

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Solution

The fourth proportional to 10,597.60, 15,896.40 and 5,348.80 is: 8,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.60 : 15,896.40 = 5,348.80 : x
  2. Step 2: Convert to fraction form
    10,597.60/15,896.40 = 5,348.80/x
  3. Step 3: Cross multiply
    10,597.60x = 15,896.40 × 5,348.80
  4. Step 4: Simplify right side
    10,597.60x = 85,026,664.32
  5. Step 5: Solve for x
    x = 85,026,664.32/10,597.60
  6. Step 6: Final answer
    x = 8,023.20

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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.