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Finding the Fourth Proportional to 8,323.78, 11,486.76 and 4,597.78

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Solution

The fourth proportional to 8,323.78, 11,486.76 and 4,597.78 is: 6,344.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.78 : 11,486.76 = 4,597.78 : x
  2. Step 2: Convert to fraction form
    8,323.78/11,486.76 = 4,597.78/x
  3. Step 3: Cross multiply
    8,323.78x = 11,486.76 × 4,597.78
  4. Step 4: Simplify right side
    8,323.78x = 52,813,595.39
  5. Step 5: Solve for x
    x = 52,813,595.39/8,323.78
  6. Step 6: Final answer
    x = 6,344.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.