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Finding the Fourth Proportional to 7,167.69, 9,894.74 and 4,781.63

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Solution

The fourth proportional to 7,167.69, 9,894.74 and 4,781.63 is: 6,600.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.69 : 9,894.74 = 4,781.63 : x
  2. Step 2: Convert to fraction form
    7,167.69/9,894.74 = 4,781.63/x
  3. Step 3: Cross multiply
    7,167.69x = 9,894.74 × 4,781.63
  4. Step 4: Simplify right side
    7,167.69x = 47,312,985.63
  5. Step 5: Solve for x
    x = 47,312,985.63/7,167.69
  6. Step 6: Final answer
    x = 6,600.87

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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.