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Finding the Fourth Proportional to 8,985.75, 12,400.47 and 5,209.20

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Solution

The fourth proportional to 8,985.75, 12,400.47 and 5,209.20 is: 7,188.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,985.75 : 12,400.47 = 5,209.20 : x
  2. Step 2: Convert to fraction form
    8,985.75/12,400.47 = 5,209.20/x
  3. Step 3: Cross multiply
    8,985.75x = 12,400.47 × 5,209.20
  4. Step 4: Simplify right side
    8,985.75x = 64,596,528.32
  5. Step 5: Solve for x
    x = 64,596,528.32/8,985.75
  6. Step 6: Final answer
    x = 7,188.77

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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.