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Finding the Fourth Proportional to 6,569.40, 9,830.10 and 4,841.40

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Solution

The fourth proportional to 6,569.40, 9,830.10 and 4,841.40 is: 7,244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.40 : 9,830.10 = 4,841.40 : x
  2. Step 2: Convert to fraction form
    6,569.40/9,830.10 = 4,841.40/x
  3. Step 3: Cross multiply
    6,569.40x = 9,830.10 × 4,841.40
  4. Step 4: Simplify right side
    6,569.40x = 47,591,446.14
  5. Step 5: Solve for x
    x = 47,591,446.14/6,569.40
  6. Step 6: Final answer
    x = 7,244.41

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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.