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Finding the Fourth Proportional to 29,975.60, 44,963.40 and 9,196.40

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Solution

The fourth proportional to 29,975.60, 44,963.40 and 9,196.40 is: 13,794.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,975.60 : 44,963.40 = 9,196.40 : x
  2. Step 2: Convert to fraction form
    29,975.60/44,963.40 = 9,196.40/x
  3. Step 3: Cross multiply
    29,975.60x = 44,963.40 × 9,196.40
  4. Step 4: Simplify right side
    29,975.60x = 413,501,411.76
  5. Step 5: Solve for x
    x = 413,501,411.76/29,975.60
  6. Step 6: Final answer
    x = 13,794.60

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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.