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Finding the Fourth Proportional to 7,097.84, 9,800.76 and 4,581.20

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Solution

The fourth proportional to 7,097.84, 9,800.76 and 4,581.20 is: 6,325.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.84 : 9,800.76 = 4,581.20 : x
  2. Step 2: Convert to fraction form
    7,097.84/9,800.76 = 4,581.20/x
  3. Step 3: Cross multiply
    7,097.84x = 9,800.76 × 4,581.20
  4. Step 4: Simplify right side
    7,097.84x = 44,899,241.71
  5. Step 5: Solve for x
    x = 44,899,241.71/7,097.84
  6. Step 6: Final answer
    x = 6,325.76

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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.