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Finding the Fourth Proportional to 6,994, 10,488.76 and 2,312.92

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Solution

The fourth proportional to 6,994, 10,488.76 and 2,312.92 is: 3,468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994 : 10,488.76 = 2,312.92 : x
  2. Step 2: Convert to fraction form
    6,994/10,488.76 = 2,312.92/x
  3. Step 3: Cross multiply
    6,994x = 10,488.76 × 2,312.92
  4. Step 4: Simplify right side
    6,994x = 24,259,662.78
  5. Step 5: Solve for x
    x = 24,259,662.78/6,994
  6. Step 6: Final answer
    x = 3,468.64

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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.