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Finding the Fourth Proportional to 9,227.52, 13,827.84 and 4,604.16

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Solution

The fourth proportional to 9,227.52, 13,827.84 and 4,604.16 is: 6,899.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.52 : 13,827.84 = 4,604.16 : x
  2. Step 2: Convert to fraction form
    9,227.52/13,827.84 = 4,604.16/x
  3. Step 3: Cross multiply
    9,227.52x = 13,827.84 × 4,604.16
  4. Step 4: Simplify right side
    9,227.52x = 63,665,587.81
  5. Step 5: Solve for x
    x = 63,665,587.81/9,227.52
  6. Step 6: Final answer
    x = 6,899.53

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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.