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Finding the Fourth Proportional to 10,859.74, 14,977.10 and 8,618.06

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Solution

The fourth proportional to 10,859.74, 14,977.10 and 8,618.06 is: 11,885.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.74 : 14,977.10 = 8,618.06 : x
  2. Step 2: Convert to fraction form
    10,859.74/14,977.10 = 8,618.06/x
  3. Step 3: Cross multiply
    10,859.74x = 14,977.10 × 8,618.06
  4. Step 4: Simplify right side
    10,859.74x = 129,073,605.41
  5. Step 5: Solve for x
    x = 129,073,605.41/10,859.74
  6. Step 6: Final answer
    x = 11,885.52

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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.