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Finding the Fourth Proportional to 6,514.80, 9,772.20 and 6,284.40

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Solution

The fourth proportional to 6,514.80, 9,772.20 and 6,284.40 is: 9,426.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.80 : 9,772.20 = 6,284.40 : x
  2. Step 2: Convert to fraction form
    6,514.80/9,772.20 = 6,284.40/x
  3. Step 3: Cross multiply
    6,514.80x = 9,772.20 × 6,284.40
  4. Step 4: Simplify right side
    6,514.80x = 61,412,413.68
  5. Step 5: Solve for x
    x = 61,412,413.68/6,514.80
  6. Step 6: Final answer
    x = 9,426.60

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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.