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Finding the Fourth Proportional to 6,354.88, 9,482.88 and 5,701.12

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Solution

The fourth proportional to 6,354.88, 9,482.88 and 5,701.12 is: 8,507.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.88 : 9,482.88 = 5,701.12 : x
  2. Step 2: Convert to fraction form
    6,354.88/9,482.88 = 5,701.12/x
  3. Step 3: Cross multiply
    6,354.88x = 9,482.88 × 5,701.12
  4. Step 4: Simplify right side
    6,354.88x = 54,063,036.83
  5. Step 5: Solve for x
    x = 54,063,036.83/6,354.88
  6. Step 6: Final answer
    x = 8,507.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.