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Finding the Fourth Proportional to 6,995, 10,492.51 and 2,315.01

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Solution

The fourth proportional to 6,995, 10,492.51 and 2,315.01 is: 3,472.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995 : 10,492.51 = 2,315.01 : x
  2. Step 2: Convert to fraction form
    6,995/10,492.51 = 2,315.01/x
  3. Step 3: Cross multiply
    6,995x = 10,492.51 × 2,315.01
  4. Step 4: Simplify right side
    6,995x = 24,290,265.58
  5. Step 5: Solve for x
    x = 24,290,265.58/6,995
  6. Step 6: Final answer
    x = 3,472.52

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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.