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Finding the Fourth Proportional to 9,203.60, 12,700.81 and 5,224.63

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Solution

The fourth proportional to 9,203.60, 12,700.81 and 5,224.63 is: 7,209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.60 : 12,700.81 = 5,224.63 : x
  2. Step 2: Convert to fraction form
    9,203.60/12,700.81 = 5,224.63/x
  3. Step 3: Cross multiply
    9,203.60x = 12,700.81 × 5,224.63
  4. Step 4: Simplify right side
    9,203.60x = 66,357,006.83
  5. Step 5: Solve for x
    x = 66,357,006.83/9,203.60
  6. Step 6: Final answer
    x = 7,209.90

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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.