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Finding the Fourth Proportional to 8,985.74, 12,400.31 and 5,211.10

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Solution

The fourth proportional to 8,985.74, 12,400.31 and 5,211.10 is: 7,191.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,985.74 : 12,400.31 = 5,211.10 : x
  2. Step 2: Convert to fraction form
    8,985.74/12,400.31 = 5,211.10/x
  3. Step 3: Cross multiply
    8,985.74x = 12,400.31 × 5,211.10
  4. Step 4: Simplify right side
    8,985.74x = 64,619,255.44
  5. Step 5: Solve for x
    x = 64,619,255.44/8,985.74
  6. Step 6: Final answer
    x = 7,191.31

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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.