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Finding the Fourth Proportional to 9,893.61, 13,648.23 and 5,913.68

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Solution

The fourth proportional to 9,893.61, 13,648.23 and 5,913.68 is: 8,157.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.61 : 13,648.23 = 5,913.68 : x
  2. Step 2: Convert to fraction form
    9,893.61/13,648.23 = 5,913.68/x
  3. Step 3: Cross multiply
    9,893.61x = 13,648.23 × 5,913.68
  4. Step 4: Simplify right side
    9,893.61x = 80,711,196.55
  5. Step 5: Solve for x
    x = 80,711,196.55/9,893.61
  6. Step 6: Final answer
    x = 8,157.91

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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.