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Finding the Fourth Proportional to 9,311.76, 13,949.01 and 5,602.77

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Solution

The fourth proportional to 9,311.76, 13,949.01 and 5,602.77 is: 8,392.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.76 : 13,949.01 = 5,602.77 : x
  2. Step 2: Convert to fraction form
    9,311.76/13,949.01 = 5,602.77/x
  3. Step 3: Cross multiply
    9,311.76x = 13,949.01 × 5,602.77
  4. Step 4: Simplify right side
    9,311.76x = 78,153,094.76
  5. Step 5: Solve for x
    x = 78,153,094.76/9,311.76
  6. Step 6: Final answer
    x = 8,392.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.