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Finding the Fourth Proportional to 10,563.66, 14,575.38 and 7,213.45

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Solution

The fourth proportional to 10,563.66, 14,575.38 and 7,213.45 is: 9,952.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.66 : 14,575.38 = 7,213.45 : x
  2. Step 2: Convert to fraction form
    10,563.66/14,575.38 = 7,213.45/x
  3. Step 3: Cross multiply
    10,563.66x = 14,575.38 × 7,213.45
  4. Step 4: Simplify right side
    10,563.66x = 105,138,701.98
  5. Step 5: Solve for x
    x = 105,138,701.98/10,563.66
  6. Step 6: Final answer
    x = 9,952.87

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1.5x scale

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.