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Finding the Fourth Proportional to 7,170.54, 9,868.38 and 6,066

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Solution

The fourth proportional to 7,170.54, 9,868.38 and 6,066 is: 8,348.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.54 : 9,868.38 = 6,066 : x
  2. Step 2: Convert to fraction form
    7,170.54/9,868.38 = 6,066/x
  3. Step 3: Cross multiply
    7,170.54x = 9,868.38 × 6,066
  4. Step 4: Simplify right side
    7,170.54x = 59,861,593.08
  5. Step 5: Solve for x
    x = 59,861,593.08/7,170.54
  6. Step 6: Final answer
    x = 8,348.27

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Double scale
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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.