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Finding the Fourth Proportional to 7,207.52, 9,941.20 and 4,684.91

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Solution

The fourth proportional to 7,207.52, 9,941.20 and 4,684.91 is: 6,461.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207.52 : 9,941.20 = 4,684.91 : x
  2. Step 2: Convert to fraction form
    7,207.52/9,941.20 = 4,684.91/x
  3. Step 3: Cross multiply
    7,207.52x = 9,941.20 × 4,684.91
  4. Step 4: Simplify right side
    7,207.52x = 46,573,565.87
  5. Step 5: Solve for x
    x = 46,573,565.87/7,207.52
  6. Step 6: Final answer
    x = 6,461.81

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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.