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Finding the Fourth Proportional to 9,165.25, 12,648.05 and 4,973.50

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Solution

The fourth proportional to 9,165.25, 12,648.05 and 4,973.50 is: 6,863.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.25 : 12,648.05 = 4,973.50 : x
  2. Step 2: Convert to fraction form
    9,165.25/12,648.05 = 4,973.50/x
  3. Step 3: Cross multiply
    9,165.25x = 12,648.05 × 4,973.50
  4. Step 4: Simplify right side
    9,165.25x = 62,905,076.68
  5. Step 5: Solve for x
    x = 62,905,076.68/9,165.25
  6. Step 6: Final answer
    x = 6,863.43

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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.