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Finding the Fourth Proportional to 9,704.34, 13,392.15 and 7,582.32

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Solution

The fourth proportional to 9,704.34, 13,392.15 and 7,582.32 is: 10,463.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.34 : 13,392.15 = 7,582.32 : x
  2. Step 2: Convert to fraction form
    9,704.34/13,392.15 = 7,582.32/x
  3. Step 3: Cross multiply
    9,704.34x = 13,392.15 × 7,582.32
  4. Step 4: Simplify right side
    9,704.34x = 101,543,566.79
  5. Step 5: Solve for x
    x = 101,543,566.79/9,704.34
  6. Step 6: Final answer
    x = 10,463.73

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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.