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Finding the Fourth Proportional to 15,772.84, 21,766.58 and 8,699.16

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Solution

The fourth proportional to 15,772.84, 21,766.58 and 8,699.16 is: 12,004.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.84 : 21,766.58 = 8,699.16 : x
  2. Step 2: Convert to fraction form
    15,772.84/21,766.58 = 8,699.16/x
  3. Step 3: Cross multiply
    15,772.84x = 21,766.58 × 8,699.16
  4. Step 4: Simplify right side
    15,772.84x = 189,350,962.07
  5. Step 5: Solve for x
    x = 189,350,962.07/15,772.84
  6. Step 6: Final answer
    x = 12,004.87

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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.