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Finding the Fourth Proportional to 9,807.34, 13,524.96 and 7,565.68

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Solution

The fourth proportional to 9,807.34, 13,524.96 and 7,565.68 is: 10,433.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.34 : 13,524.96 = 7,565.68 : x
  2. Step 2: Convert to fraction form
    9,807.34/13,524.96 = 7,565.68/x
  3. Step 3: Cross multiply
    9,807.34x = 13,524.96 × 7,565.68
  4. Step 4: Simplify right side
    9,807.34x = 102,325,519.37
  5. Step 5: Solve for x
    x = 102,325,519.37/9,807.34
  6. Step 6: Final answer
    x = 10,433.57

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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.