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Finding the Fourth Proportional to 7,210.02, 9,950.10 and 4,066.14

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Solution

The fourth proportional to 7,210.02, 9,950.10 and 4,066.14 is: 5,611.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210.02 : 9,950.10 = 4,066.14 : x
  2. Step 2: Convert to fraction form
    7,210.02/9,950.10 = 4,066.14/x
  3. Step 3: Cross multiply
    7,210.02x = 9,950.10 × 4,066.14
  4. Step 4: Simplify right side
    7,210.02x = 40,458,499.61
  5. Step 5: Solve for x
    x = 40,458,499.61/7,210.02
  6. Step 6: Final answer
    x = 5,611.43

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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.