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Finding the Fourth Proportional to 10,444.98, 15,630.84 and 7,486.68

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Solution

The fourth proportional to 10,444.98, 15,630.84 and 7,486.68 is: 11,203.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.98 : 15,630.84 = 7,486.68 : x
  2. Step 2: Convert to fraction form
    10,444.98/15,630.84 = 7,486.68/x
  3. Step 3: Cross multiply
    10,444.98x = 15,630.84 × 7,486.68
  4. Step 4: Simplify right side
    10,444.98x = 117,023,097.21
  5. Step 5: Solve for x
    x = 117,023,097.21/10,444.98
  6. Step 6: Final answer
    x = 11,203.76

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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.