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Finding the Fourth Proportional to 27,510.50, 37,964.40 and 14,935.16

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Solution

The fourth proportional to 27,510.50, 37,964.40 and 14,935.16 is: 20,610.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,510.50 : 37,964.40 = 14,935.16 : x
  2. Step 2: Convert to fraction form
    27,510.50/37,964.40 = 14,935.16/x
  3. Step 3: Cross multiply
    27,510.50x = 37,964.40 × 14,935.16
  4. Step 4: Simplify right side
    27,510.50x = 567,004,388.30
  5. Step 5: Solve for x
    x = 567,004,388.30/27,510.50
  6. Step 6: Final answer
    x = 20,610.47

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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.