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Finding the Fourth Proportional to 10,597.41, 14,621.97 and 6,347.68

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Solution

The fourth proportional to 10,597.41, 14,621.97 and 6,347.68 is: 8,758.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.41 : 14,621.97 = 6,347.68 : x
  2. Step 2: Convert to fraction form
    10,597.41/14,621.97 = 6,347.68/x
  3. Step 3: Cross multiply
    10,597.41x = 14,621.97 × 6,347.68
  4. Step 4: Simplify right side
    10,597.41x = 92,815,586.53
  5. Step 5: Solve for x
    x = 92,815,586.53/10,597.41
  6. Step 6: Final answer
    x = 8,758.33

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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.