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Finding the Fourth Proportional to 4,627.70, 6,941.55 and 4,117.40

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Solution

The fourth proportional to 4,627.70, 6,941.55 and 4,117.40 is: 6,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.70 : 6,941.55 = 4,117.40 : x
  2. Step 2: Convert to fraction form
    4,627.70/6,941.55 = 4,117.40/x
  3. Step 3: Cross multiply
    4,627.70x = 6,941.55 × 4,117.40
  4. Step 4: Simplify right side
    4,627.70x = 28,581,137.97
  5. Step 5: Solve for x
    x = 28,581,137.97/4,627.70
  6. Step 6: Final answer
    x = 6,176.10

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Similar ratio
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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.