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Finding the Fourth Proportional to 10,415.75, 15,608.70 and 9,854.42

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Solution

The fourth proportional to 10,415.75, 15,608.70 and 9,854.42 is: 14,767.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.75 : 15,608.70 = 9,854.42 : x
  2. Step 2: Convert to fraction form
    10,415.75/15,608.70 = 9,854.42/x
  3. Step 3: Cross multiply
    10,415.75x = 15,608.70 × 9,854.42
  4. Step 4: Simplify right side
    10,415.75x = 153,814,607.41
  5. Step 5: Solve for x
    x = 153,814,607.41/10,415.75
  6. Step 6: Final answer
    x = 14,767.51

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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.