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Finding the Fourth Proportional to 9,751.20, 14,594.04 and 8,111.04

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Solution

The fourth proportional to 9,751.20, 14,594.04 and 8,111.04 is: 12,139.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.20 : 14,594.04 = 8,111.04 : x
  2. Step 2: Convert to fraction form
    9,751.20/14,594.04 = 8,111.04/x
  3. Step 3: Cross multiply
    9,751.20x = 14,594.04 × 8,111.04
  4. Step 4: Simplify right side
    9,751.20x = 118,372,842.20
  5. Step 5: Solve for x
    x = 118,372,842.20/9,751.20
  6. Step 6: Final answer
    x = 12,139.31

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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.