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Finding the Fourth Proportional to 27,178.29, 40,767.46 and 7,457.00

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Solution

The fourth proportional to 27,178.29, 40,767.46 and 7,457.00 is: 11,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,178.29 : 40,767.46 = 7,457.00 : x
  2. Step 2: Convert to fraction form
    27,178.29/40,767.46 = 7,457.00/x
  3. Step 3: Cross multiply
    27,178.29x = 40,767.46 × 7,457.00
  4. Step 4: Simplify right side
    27,178.29x = 304,002,726.74
  5. Step 5: Solve for x
    x = 304,002,726.74/27,178.29
  6. Step 6: Final answer
    x = 11,185.50

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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.