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Finding the Fourth Proportional to 15,685.84, 21,645.66 and 8,971.12

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Solution

The fourth proportional to 15,685.84, 21,645.66 and 8,971.12 is: 12,379.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,685.84 : 21,645.66 = 8,971.12 : x
  2. Step 2: Convert to fraction form
    15,685.84/21,645.66 = 8,971.12/x
  3. Step 3: Cross multiply
    15,685.84x = 21,645.66 × 8,971.12
  4. Step 4: Simplify right side
    15,685.84x = 194,185,813.34
  5. Step 5: Solve for x
    x = 194,185,813.34/15,685.84
  6. Step 6: Final answer
    x = 12,379.69

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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.