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Finding the Fourth Proportional to 6,061.32, 9,092.16 and 1,678.80

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Solution

The fourth proportional to 6,061.32, 9,092.16 and 1,678.80 is: 2,518.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,061.32 : 9,092.16 = 1,678.80 : x
  2. Step 2: Convert to fraction form
    6,061.32/9,092.16 = 1,678.80/x
  3. Step 3: Cross multiply
    6,061.32x = 9,092.16 × 1,678.80
  4. Step 4: Simplify right side
    6,061.32x = 15,263,918.21
  5. Step 5: Solve for x
    x = 15,263,918.21/6,061.32
  6. Step 6: Final answer
    x = 2,518.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.