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Finding the Fourth Proportional to 9,564.70, 13,197.12 and 5,787.77

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Solution

The fourth proportional to 9,564.70, 13,197.12 and 5,787.77 is: 7,985.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.70 : 13,197.12 = 5,787.77 : x
  2. Step 2: Convert to fraction form
    9,564.70/13,197.12 = 5,787.77/x
  3. Step 3: Cross multiply
    9,564.70x = 13,197.12 × 5,787.77
  4. Step 4: Simplify right side
    9,564.70x = 76,381,895.22
  5. Step 5: Solve for x
    x = 76,381,895.22/9,564.70
  6. Step 6: Final answer
    x = 7,985.81

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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.