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Finding the Fourth Proportional to 14,456.76, 19,952.16 and 8,169

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Solution

The fourth proportional to 14,456.76, 19,952.16 and 8,169 is: 11,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456.76 : 19,952.16 = 8,169 : x
  2. Step 2: Convert to fraction form
    14,456.76/19,952.16 = 8,169/x
  3. Step 3: Cross multiply
    14,456.76x = 19,952.16 × 8,169
  4. Step 4: Simplify right side
    14,456.76x = 162,989,195.04
  5. Step 5: Solve for x
    x = 162,989,195.04/14,456.76
  6. Step 6: Final answer
    x = 11,274.25

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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.