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Finding the Fourth Proportional to 15,866.67, 21,895.98 and 9,152.19

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Solution

The fourth proportional to 15,866.67, 21,895.98 and 9,152.19 is: 12,630.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,866.67 : 21,895.98 = 9,152.19 : x
  2. Step 2: Convert to fraction form
    15,866.67/21,895.98 = 9,152.19/x
  3. Step 3: Cross multiply
    15,866.67x = 21,895.98 × 9,152.19
  4. Step 4: Simplify right side
    15,866.67x = 200,396,169.20
  5. Step 5: Solve for x
    x = 200,396,169.20/15,866.67
  6. Step 6: Final answer
    x = 12,630.01

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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.