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Finding the Fourth Proportional to 9,398.86, 12,970.23 and 5,149.72

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Solution

The fourth proportional to 9,398.86, 12,970.23 and 5,149.72 is: 7,106.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.86 : 12,970.23 = 5,149.72 : x
  2. Step 2: Convert to fraction form
    9,398.86/12,970.23 = 5,149.72/x
  3. Step 3: Cross multiply
    9,398.86x = 12,970.23 × 5,149.72
  4. Step 4: Simplify right side
    9,398.86x = 66,793,052.84
  5. Step 5: Solve for x
    x = 66,793,052.84/9,398.86
  6. Step 6: Final answer
    x = 7,106.51

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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.