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Finding the Fourth Proportional to 9,843.76, 13,582.56 and 7,193.44

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Solution

The fourth proportional to 9,843.76, 13,582.56 and 7,193.44 is: 9,925.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.76 : 13,582.56 = 7,193.44 : x
  2. Step 2: Convert to fraction form
    9,843.76/13,582.56 = 7,193.44/x
  3. Step 3: Cross multiply
    9,843.76x = 13,582.56 × 7,193.44
  4. Step 4: Simplify right side
    9,843.76x = 97,705,330.41
  5. Step 5: Solve for x
    x = 97,705,330.41/9,843.76
  6. Step 6: Final answer
    x = 9,925.61

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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.