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Finding the Fourth Proportional to 9,503.04, 13,121.04 and 6,147.76

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Solution

The fourth proportional to 9,503.04, 13,121.04 and 6,147.76 is: 8,488.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.04 : 13,121.04 = 6,147.76 : x
  2. Step 2: Convert to fraction form
    9,503.04/13,121.04 = 6,147.76/x
  3. Step 3: Cross multiply
    9,503.04x = 13,121.04 × 6,147.76
  4. Step 4: Simplify right side
    9,503.04x = 80,665,004.87
  5. Step 5: Solve for x
    x = 80,665,004.87/9,503.04
  6. Step 6: Final answer
    x = 8,488.34

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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.