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Finding the Fourth Proportional to 7,657.39, 11,486.54 and 2,975.84

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Solution

The fourth proportional to 7,657.39, 11,486.54 and 2,975.84 is: 4,463.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.39 : 11,486.54 = 2,975.84 : x
  2. Step 2: Convert to fraction form
    7,657.39/11,486.54 = 2,975.84/x
  3. Step 3: Cross multiply
    7,657.39x = 11,486.54 × 2,975.84
  4. Step 4: Simplify right side
    7,657.39x = 34,182,105.19
  5. Step 5: Solve for x
    x = 34,182,105.19/7,657.39
  6. Step 6: Final answer
    x = 4,463.94

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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.