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Finding the Fourth Proportional to 27,438, 37,864.45 and 14,862.75

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Solution

The fourth proportional to 27,438, 37,864.45 and 14,862.75 is: 20,510.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,438 : 37,864.45 = 14,862.75 : x
  2. Step 2: Convert to fraction form
    27,438/37,864.45 = 14,862.75/x
  3. Step 3: Cross multiply
    27,438x = 37,864.45 × 14,862.75
  4. Step 4: Simplify right side
    27,438x = 562,769,854.24
  5. Step 5: Solve for x
    x = 562,769,854.24/27,438
  6. Step 6: Final answer
    x = 20,510.60

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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.