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Finding the Fourth Proportional to 7,766.03, 11,648.98 and 4,646.90

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Solution

The fourth proportional to 7,766.03, 11,648.98 and 4,646.90 is: 6,970.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.03 : 11,648.98 = 4,646.90 : x
  2. Step 2: Convert to fraction form
    7,766.03/11,648.98 = 4,646.90/x
  3. Step 3: Cross multiply
    7,766.03x = 11,648.98 × 4,646.90
  4. Step 4: Simplify right side
    7,766.03x = 54,131,645.16
  5. Step 5: Solve for x
    x = 54,131,645.16/7,766.03
  6. Step 6: Final answer
    x = 6,970.31

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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.