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Finding the Fourth Proportional to 9,174.81, 13,762.20 and 8,707.34

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Solution

The fourth proportional to 9,174.81, 13,762.20 and 8,707.34 is: 13,060.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.81 : 13,762.20 = 8,707.34 : x
  2. Step 2: Convert to fraction form
    9,174.81/13,762.20 = 8,707.34/x
  3. Step 3: Cross multiply
    9,174.81x = 13,762.20 × 8,707.34
  4. Step 4: Simplify right side
    9,174.81x = 119,832,085.74
  5. Step 5: Solve for x
    x = 119,832,085.74/9,174.81
  6. Step 6: Final answer
    x = 13,060.99

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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.