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Finding the Fourth Proportional to 7,066.16, 9,742.16 and 4,544

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Solution

The fourth proportional to 7,066.16, 9,742.16 and 4,544 is: 6,264.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.16 : 9,742.16 = 4,544 : x
  2. Step 2: Convert to fraction form
    7,066.16/9,742.16 = 4,544/x
  3. Step 3: Cross multiply
    7,066.16x = 9,742.16 × 4,544
  4. Step 4: Simplify right side
    7,066.16x = 44,268,375.04
  5. Step 5: Solve for x
    x = 44,268,375.04/7,066.16
  6. Step 6: Final answer
    x = 6,264.84

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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.