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Finding the Fourth Proportional to 22,648.01, 33,973.93 and 6,853.17

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Solution

The fourth proportional to 22,648.01, 33,973.93 and 6,853.17 is: 10,280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,648.01 : 33,973.93 = 6,853.17 : x
  2. Step 2: Convert to fraction form
    22,648.01/33,973.93 = 6,853.17/x
  3. Step 3: Cross multiply
    22,648.01x = 33,973.93 × 6,853.17
  4. Step 4: Simplify right side
    22,648.01x = 232,829,132.18
  5. Step 5: Solve for x
    x = 232,829,132.18/22,648.01
  6. Step 6: Final answer
    x = 10,280.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.