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Finding the Fourth Proportional to 10,643.64, 15,964.78 and 4,402.03

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Solution

The fourth proportional to 10,643.64, 15,964.78 and 4,402.03 is: 6,602.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.64 : 15,964.78 = 4,402.03 : x
  2. Step 2: Convert to fraction form
    10,643.64/15,964.78 = 4,402.03/x
  3. Step 3: Cross multiply
    10,643.64x = 15,964.78 × 4,402.03
  4. Step 4: Simplify right side
    10,643.64x = 70,277,440.50
  5. Step 5: Solve for x
    x = 70,277,440.50/10,643.64
  6. Step 6: Final answer
    x = 6,602.76

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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.