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Finding the Fourth Proportional to 7,000, 10,501.84 and 3,103.52

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Solution

The fourth proportional to 7,000, 10,501.84 and 3,103.52 is: 4,656.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000 : 10,501.84 = 3,103.52 : x
  2. Step 2: Convert to fraction form
    7,000/10,501.84 = 3,103.52/x
  3. Step 3: Cross multiply
    7,000x = 10,501.84 × 3,103.52
  4. Step 4: Simplify right side
    7,000x = 32,592,670.48
  5. Step 5: Solve for x
    x = 32,592,670.48/7,000
  6. Step 6: Final answer
    x = 4,656.10

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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.