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Finding the Fourth Proportional to 15,899.76, 21,942.12 and 8,730

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Solution

The fourth proportional to 15,899.76, 21,942.12 and 8,730 is: 12,047.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,899.76 : 21,942.12 = 8,730 : x
  2. Step 2: Convert to fraction form
    15,899.76/21,942.12 = 8,730/x
  3. Step 3: Cross multiply
    15,899.76x = 21,942.12 × 8,730
  4. Step 4: Simplify right side
    15,899.76x = 191,554,707.60
  5. Step 5: Solve for x
    x = 191,554,707.60/15,899.76
  6. Step 6: Final answer
    x = 12,047.65

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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.