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Finding the Fourth Proportional to 7,707.60, 11,561.40 and 5,374.80

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Solution

The fourth proportional to 7,707.60, 11,561.40 and 5,374.80 is: 8,062.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.60 : 11,561.40 = 5,374.80 : x
  2. Step 2: Convert to fraction form
    7,707.60/11,561.40 = 5,374.80/x
  3. Step 3: Cross multiply
    7,707.60x = 11,561.40 × 5,374.80
  4. Step 4: Simplify right side
    7,707.60x = 62,140,212.72
  5. Step 5: Solve for x
    x = 62,140,212.72/7,707.60
  6. Step 6: Final answer
    x = 8,062.20

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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.