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Finding the Fourth Proportional to 10,497.80, 15,733.90 and 4,648.20

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Solution

The fourth proportional to 10,497.80, 15,733.90 and 4,648.20 is: 6,966.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.80 : 15,733.90 = 4,648.20 : x
  2. Step 2: Convert to fraction form
    10,497.80/15,733.90 = 4,648.20/x
  3. Step 3: Cross multiply
    10,497.80x = 15,733.90 × 4,648.20
  4. Step 4: Simplify right side
    10,497.80x = 73,134,313.98
  5. Step 5: Solve for x
    x = 73,134,313.98/10,497.80
  6. Step 6: Final answer
    x = 6,966.63

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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.