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Finding the Fourth Proportional to 7,475.04, 10,315.08 and 4,491

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Solution

The fourth proportional to 7,475.04, 10,315.08 and 4,491 is: 6,197.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475.04 : 10,315.08 = 4,491 : x
  2. Step 2: Convert to fraction form
    7,475.04/10,315.08 = 4,491/x
  3. Step 3: Cross multiply
    7,475.04x = 10,315.08 × 4,491
  4. Step 4: Simplify right side
    7,475.04x = 46,325,024.28
  5. Step 5: Solve for x
    x = 46,325,024.28/7,475.04
  6. Step 6: Final answer
    x = 6,197.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.