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Finding the Fourth Proportional to 7,097.76, 9,800.12 and 4,581.33

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Solution

The fourth proportional to 7,097.76, 9,800.12 and 4,581.33 is: 6,325.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.76 : 9,800.12 = 4,581.33 : x
  2. Step 2: Convert to fraction form
    7,097.76/9,800.12 = 4,581.33/x
  3. Step 3: Cross multiply
    7,097.76x = 9,800.12 × 4,581.33
  4. Step 4: Simplify right side
    7,097.76x = 44,897,558.46
  5. Step 5: Solve for x
    x = 44,897,558.46/7,097.76
  6. Step 6: Final answer
    x = 6,325.60

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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.