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Finding the Fourth Proportional to 9,486.80, 13,092.20 and 5,454.93

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Solution

The fourth proportional to 9,486.80, 13,092.20 and 5,454.93 is: 7,528.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.80 : 13,092.20 = 5,454.93 : x
  2. Step 2: Convert to fraction form
    9,486.80/13,092.20 = 5,454.93/x
  3. Step 3: Cross multiply
    9,486.80x = 13,092.20 × 5,454.93
  4. Step 4: Simplify right side
    9,486.80x = 71,417,048.18
  5. Step 5: Solve for x
    x = 71,417,048.18/9,486.80
  6. Step 6: Final answer
    x = 7,528.05

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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.