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Finding the Fourth Proportional to 11,232.52, 16,852.02 and 4,657.48

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Solution

The fourth proportional to 11,232.52, 16,852.02 and 4,657.48 is: 6,987.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,232.52 : 16,852.02 = 4,657.48 : x
  2. Step 2: Convert to fraction form
    11,232.52/16,852.02 = 4,657.48/x
  3. Step 3: Cross multiply
    11,232.52x = 16,852.02 × 4,657.48
  4. Step 4: Simplify right side
    11,232.52x = 78,487,946.11
  5. Step 5: Solve for x
    x = 78,487,946.11/11,232.52
  6. Step 6: Final answer
    x = 6,987.56

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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.