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Finding the Fourth Proportional to 12,294.71, 16,937.06 and 9,776.01

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Solution

The fourth proportional to 12,294.71, 16,937.06 and 9,776.01 is: 13,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.71 : 16,937.06 = 9,776.01 : x
  2. Step 2: Convert to fraction form
    12,294.71/16,937.06 = 9,776.01/x
  3. Step 3: Cross multiply
    12,294.71x = 16,937.06 × 9,776.01
  4. Step 4: Simplify right side
    12,294.71x = 165,576,867.93
  5. Step 5: Solve for x
    x = 165,576,867.93/12,294.71
  6. Step 6: Final answer
    x = 13,467.33

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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.