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Finding the Fourth Proportional to 17,875.92, 26,813.88 and 6,182.76

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Solution

The fourth proportional to 17,875.92, 26,813.88 and 6,182.76 is: 9,274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,875.92 : 26,813.88 = 6,182.76 : x
  2. Step 2: Convert to fraction form
    17,875.92/26,813.88 = 6,182.76/x
  3. Step 3: Cross multiply
    17,875.92x = 26,813.88 × 6,182.76
  4. Step 4: Simplify right side
    17,875.92x = 165,783,784.71
  5. Step 5: Solve for x
    x = 165,783,784.71/17,875.92
  6. Step 6: Final answer
    x = 9,274.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.