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Finding the Fourth Proportional to 6,536.16, 9,019.53 and 3,881.88

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Solution

The fourth proportional to 6,536.16, 9,019.53 and 3,881.88 is: 5,356.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.16 : 9,019.53 = 3,881.88 : x
  2. Step 2: Convert to fraction form
    6,536.16/9,019.53 = 3,881.88/x
  3. Step 3: Cross multiply
    6,536.16x = 9,019.53 × 3,881.88
  4. Step 4: Simplify right side
    6,536.16x = 35,012,733.12
  5. Step 5: Solve for x
    x = 35,012,733.12/6,536.16
  6. Step 6: Final answer
    x = 5,356.77

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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.