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Finding the Fourth Proportional to 9,017.16, 13,522.16 and 3,748.64

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Solution

The fourth proportional to 9,017.16, 13,522.16 and 3,748.64 is: 5,621.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,017.16 : 13,522.16 = 3,748.64 : x
  2. Step 2: Convert to fraction form
    9,017.16/13,522.16 = 3,748.64/x
  3. Step 3: Cross multiply
    9,017.16x = 13,522.16 × 3,748.64
  4. Step 4: Simplify right side
    9,017.16x = 50,689,709.86
  5. Step 5: Solve for x
    x = 50,689,709.86/9,017.16
  6. Step 6: Final answer
    x = 5,621.47

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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.