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Finding the Fourth Proportional to 7,116.14, 9,824.84 and 4,602.10

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Solution

The fourth proportional to 7,116.14, 9,824.84 and 4,602.10 is: 6,353.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.14 : 9,824.84 = 4,602.10 : x
  2. Step 2: Convert to fraction form
    7,116.14/9,824.84 = 4,602.10/x
  3. Step 3: Cross multiply
    7,116.14x = 9,824.84 × 4,602.10
  4. Step 4: Simplify right side
    7,116.14x = 45,214,865.85
  5. Step 5: Solve for x
    x = 45,214,865.85/7,116.14
  6. Step 6: Final answer
    x = 6,353.85

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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.