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Finding the Fourth Proportional to 10,649.70, 15,975.90 and 5,712.57

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Solution

The fourth proportional to 10,649.70, 15,975.90 and 5,712.57 is: 8,569.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.70 : 15,975.90 = 5,712.57 : x
  2. Step 2: Convert to fraction form
    10,649.70/15,975.90 = 5,712.57/x
  3. Step 3: Cross multiply
    10,649.70x = 15,975.90 × 5,712.57
  4. Step 4: Simplify right side
    10,649.70x = 91,263,447.06
  5. Step 5: Solve for x
    x = 91,263,447.06/10,649.70
  6. Step 6: Final answer
    x = 8,569.58

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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.