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Finding the Fourth Proportional to 11,864.16, 17,798.92 and 4,748.82

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Solution

The fourth proportional to 11,864.16, 17,798.92 and 4,748.82 is: 7,124.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864.16 : 17,798.92 = 4,748.82 : x
  2. Step 2: Convert to fraction form
    11,864.16/17,798.92 = 4,748.82/x
  3. Step 3: Cross multiply
    11,864.16x = 17,798.92 × 4,748.82
  4. Step 4: Simplify right side
    11,864.16x = 84,523,867.27
  5. Step 5: Solve for x
    x = 84,523,867.27/11,864.16
  6. Step 6: Final answer
    x = 7,124.30

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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.