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Finding the Fourth Proportional to 10,498.60, 15,942.32 and 10,498.60

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Solution

The fourth proportional to 10,498.60, 15,942.32 and 10,498.60 is: 15,942.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.60 : 15,942.32 = 10,498.60 : x
  2. Step 2: Convert to fraction form
    10,498.60/15,942.32 = 10,498.60/x
  3. Step 3: Cross multiply
    10,498.60x = 15,942.32 × 10,498.60
  4. Step 4: Simplify right side
    10,498.60x = 167,372,040.75
  5. Step 5: Solve for x
    x = 167,372,040.75/10,498.60
  6. Step 6: Final answer
    x = 15,942.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.