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Finding the Fourth Proportional to 7,166.39, 9,894.44 and 5,484.79

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Solution

The fourth proportional to 7,166.39, 9,894.44 and 5,484.79 is: 7,572.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.39 : 9,894.44 = 5,484.79 : x
  2. Step 2: Convert to fraction form
    7,166.39/9,894.44 = 5,484.79/x
  3. Step 3: Cross multiply
    7,166.39x = 9,894.44 × 5,484.79
  4. Step 4: Simplify right side
    7,166.39x = 54,268,925.57
  5. Step 5: Solve for x
    x = 54,268,925.57/7,166.39
  6. Step 6: Final answer
    x = 7,572.70

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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.