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Finding the Fourth Proportional to 6,048.56, 9,070.68 and 2,098.80

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Solution

The fourth proportional to 6,048.56, 9,070.68 and 2,098.80 is: 3,147.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,048.56 : 9,070.68 = 2,098.80 : x
  2. Step 2: Convert to fraction form
    6,048.56/9,070.68 = 2,098.80/x
  3. Step 3: Cross multiply
    6,048.56x = 9,070.68 × 2,098.80
  4. Step 4: Simplify right side
    6,048.56x = 19,037,543.18
  5. Step 5: Solve for x
    x = 19,037,543.18/6,048.56
  6. Step 6: Final answer
    x = 3,147.45

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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.