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Finding the Fourth Proportional to 7,143.60, 9,855.86 and 4,627.64

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Solution

The fourth proportional to 7,143.60, 9,855.86 and 4,627.64 is: 6,384.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.60 : 9,855.86 = 4,627.64 : x
  2. Step 2: Convert to fraction form
    7,143.60/9,855.86 = 4,627.64/x
  3. Step 3: Cross multiply
    7,143.60x = 9,855.86 × 4,627.64
  4. Step 4: Simplify right side
    7,143.60x = 45,609,408.18
  5. Step 5: Solve for x
    x = 45,609,408.18/7,143.60
  6. Step 6: Final answer
    x = 6,384.65

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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.