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Finding the Fourth Proportional to 6,992, 10,488.60 and 2,312

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Solution

The fourth proportional to 6,992, 10,488.60 and 2,312 is: 3,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992 : 10,488.60 = 2,312 : x
  2. Step 2: Convert to fraction form
    6,992/10,488.60 = 2,312/x
  3. Step 3: Cross multiply
    6,992x = 10,488.60 × 2,312
  4. Step 4: Simplify right side
    6,992x = 24,249,643.20
  5. Step 5: Solve for x
    x = 24,249,643.20/6,992
  6. Step 6: Final answer
    x = 3,468.20

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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.