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Finding the Fourth Proportional to 10,353.44, 15,454.98 and 9,582.48

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Solution

The fourth proportional to 10,353.44, 15,454.98 and 9,582.48 is: 14,304.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.44 : 15,454.98 = 9,582.48 : x
  2. Step 2: Convert to fraction form
    10,353.44/15,454.98 = 9,582.48/x
  3. Step 3: Cross multiply
    10,353.44x = 15,454.98 × 9,582.48
  4. Step 4: Simplify right side
    10,353.44x = 148,097,036.75
  5. Step 5: Solve for x
    x = 148,097,036.75/10,353.44
  6. Step 6: Final answer
    x = 14,304.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.