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Finding the Fourth Proportional to 7,076, 10,614.44 and 1,881.76

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Solution

The fourth proportional to 7,076, 10,614.44 and 1,881.76 is: 2,822.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076 : 10,614.44 = 1,881.76 : x
  2. Step 2: Convert to fraction form
    7,076/10,614.44 = 1,881.76/x
  3. Step 3: Cross multiply
    7,076x = 10,614.44 × 1,881.76
  4. Step 4: Simplify right side
    7,076x = 19,973,828.61
  5. Step 5: Solve for x
    x = 19,973,828.61/7,076
  6. Step 6: Final answer
    x = 2,822.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.