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Finding the Fourth Proportional to 7,175.84, 9,903.56 and 4,032

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Solution

The fourth proportional to 7,175.84, 9,903.56 and 4,032 is: 5,564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.84 : 9,903.56 = 4,032 : x
  2. Step 2: Convert to fraction form
    7,175.84/9,903.56 = 4,032/x
  3. Step 3: Cross multiply
    7,175.84x = 9,903.56 × 4,032
  4. Step 4: Simplify right side
    7,175.84x = 39,931,133.76
  5. Step 5: Solve for x
    x = 39,931,133.76/7,175.84
  6. Step 6: Final answer
    x = 5,564.67

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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.