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Finding the Fourth Proportional to 9,263.57, 13,902.84 and 7,178.63

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Solution

The fourth proportional to 9,263.57, 13,902.84 and 7,178.63 is: 10,773.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.57 : 13,902.84 = 7,178.63 : x
  2. Step 2: Convert to fraction form
    9,263.57/13,902.84 = 7,178.63/x
  3. Step 3: Cross multiply
    9,263.57x = 13,902.84 × 7,178.63
  4. Step 4: Simplify right side
    9,263.57x = 99,803,274.80
  5. Step 5: Solve for x
    x = 99,803,274.80/9,263.57
  6. Step 6: Final answer
    x = 10,773.74

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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.