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Finding the Fourth Proportional to 10,483.12, 15,731.97 and 6,776.16

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Solution

The fourth proportional to 10,483.12, 15,731.97 and 6,776.16 is: 10,168.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.12 : 15,731.97 = 6,776.16 : x
  2. Step 2: Convert to fraction form
    10,483.12/15,731.97 = 6,776.16/x
  3. Step 3: Cross multiply
    10,483.12x = 15,731.97 × 6,776.16
  4. Step 4: Simplify right side
    10,483.12x = 106,602,299.55
  5. Step 5: Solve for x
    x = 106,602,299.55/10,483.12
  6. Step 6: Final answer
    x = 10,168.95

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1.5x scale

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.