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Finding the Fourth Proportional to 10,671.42, 14,733.85 and 6,903.71

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Solution

The fourth proportional to 10,671.42, 14,733.85 and 6,903.71 is: 9,531.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.42 : 14,733.85 = 6,903.71 : x
  2. Step 2: Convert to fraction form
    10,671.42/14,733.85 = 6,903.71/x
  3. Step 3: Cross multiply
    10,671.42x = 14,733.85 × 6,903.71
  4. Step 4: Simplify right side
    10,671.42x = 101,718,208.01
  5. Step 5: Solve for x
    x = 101,718,208.01/10,671.42
  6. Step 6: Final answer
    x = 9,531.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.