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Finding the Fourth Proportional to 10,649.70, 15,973.16 and 3,254.90

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Solution

The fourth proportional to 10,649.70, 15,973.16 and 3,254.90 is: 4,881.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.70 : 15,973.16 = 3,254.90 : x
  2. Step 2: Convert to fraction form
    10,649.70/15,973.16 = 3,254.90/x
  3. Step 3: Cross multiply
    10,649.70x = 15,973.16 × 3,254.90
  4. Step 4: Simplify right side
    10,649.70x = 51,990,942.34
  5. Step 5: Solve for x
    x = 51,990,942.34/10,649.70
  6. Step 6: Final answer
    x = 4,881.92

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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.