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Finding the Fourth Proportional to 9,752.70, 14,661.45 and 8,327.10

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Solution

The fourth proportional to 9,752.70, 14,661.45 and 8,327.10 is: 12,518.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.70 : 14,661.45 = 8,327.10 : x
  2. Step 2: Convert to fraction form
    9,752.70/14,661.45 = 8,327.10/x
  3. Step 3: Cross multiply
    9,752.70x = 14,661.45 × 8,327.10
  4. Step 4: Simplify right side
    9,752.70x = 122,087,360.30
  5. Step 5: Solve for x
    x = 122,087,360.30/9,752.70
  6. Step 6: Final answer
    x = 12,518.31

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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.