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Finding the Fourth Proportional to 9,604.71, 13,244.40 and 7,584.77

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Solution

The fourth proportional to 9,604.71, 13,244.40 and 7,584.77 is: 10,459.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.71 : 13,244.40 = 7,584.77 : x
  2. Step 2: Convert to fraction form
    9,604.71/13,244.40 = 7,584.77/x
  3. Step 3: Cross multiply
    9,604.71x = 13,244.40 × 7,584.77
  4. Step 4: Simplify right side
    9,604.71x = 100,455,760.90
  5. Step 5: Solve for x
    x = 100,455,760.90/9,604.71
  6. Step 6: Final answer
    x = 10,459.01

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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.