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Finding the Fourth Proportional to 7,166.68, 9,894.14 and 4,776.02

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Solution

The fourth proportional to 7,166.68, 9,894.14 and 4,776.02 is: 6,593.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.68 : 9,894.14 = 4,776.02 : x
  2. Step 2: Convert to fraction form
    7,166.68/9,894.14 = 4,776.02/x
  3. Step 3: Cross multiply
    7,166.68x = 9,894.14 × 4,776.02
  4. Step 4: Simplify right side
    7,166.68x = 47,254,610.52
  5. Step 5: Solve for x
    x = 47,254,610.52/7,166.68
  6. Step 6: Final answer
    x = 6,593.65

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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.