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Finding the Fourth Proportional to 27,533, 37,995.72 and 14,957.84

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Solution

The fourth proportional to 27,533, 37,995.72 and 14,957.84 is: 20,641.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,533 : 37,995.72 = 14,957.84 : x
  2. Step 2: Convert to fraction form
    27,533/37,995.72 = 14,957.84/x
  3. Step 3: Cross multiply
    27,533x = 37,995.72 × 14,957.84
  4. Step 4: Simplify right side
    27,533x = 568,333,900.44
  5. Step 5: Solve for x
    x = 568,333,900.44/27,533
  6. Step 6: Final answer
    x = 20,641.92

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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.