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Finding the Fourth Proportional to 7,603.20, 10,481.40 and 4,946.40

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Solution

The fourth proportional to 7,603.20, 10,481.40 and 4,946.40 is: 6,818.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,603.20 : 10,481.40 = 4,946.40 : x
  2. Step 2: Convert to fraction form
    7,603.20/10,481.40 = 4,946.40/x
  3. Step 3: Cross multiply
    7,603.20x = 10,481.40 × 4,946.40
  4. Step 4: Simplify right side
    7,603.20x = 51,845,196.96
  5. Step 5: Solve for x
    x = 51,845,196.96/7,603.20
  6. Step 6: Final answer
    x = 6,818.87

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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.