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Finding the Fourth Proportional to 17,810.38, 24,580.16 and 10,257

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Solution

The fourth proportional to 17,810.38, 24,580.16 and 10,257 is: 14,155.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,810.38 : 24,580.16 = 10,257 : x
  2. Step 2: Convert to fraction form
    17,810.38/24,580.16 = 10,257/x
  3. Step 3: Cross multiply
    17,810.38x = 24,580.16 × 10,257
  4. Step 4: Simplify right side
    17,810.38x = 252,118,701.12
  5. Step 5: Solve for x
    x = 252,118,701.12/17,810.38
  6. Step 6: Final answer
    x = 14,155.72

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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.