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Finding the Fourth Proportional to 7,022.16, 9,560.70 and 7,000.20

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Solution

The fourth proportional to 7,022.16, 9,560.70 and 7,000.20 is: 9,530.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022.16 : 9,560.70 = 7,000.20 : x
  2. Step 2: Convert to fraction form
    7,022.16/9,560.70 = 7,000.20/x
  3. Step 3: Cross multiply
    7,022.16x = 9,560.70 × 7,000.20
  4. Step 4: Simplify right side
    7,022.16x = 66,926,812.14
  5. Step 5: Solve for x
    x = 66,926,812.14/7,022.16
  6. Step 6: Final answer
    x = 9,530.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.