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Finding the Fourth Proportional to 9,125.96, 13,670.46 and 7,169

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Solution

The fourth proportional to 9,125.96, 13,670.46 and 7,169 is: 10,738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.96 : 13,670.46 = 7,169 : x
  2. Step 2: Convert to fraction form
    9,125.96/13,670.46 = 7,169/x
  3. Step 3: Cross multiply
    9,125.96x = 13,670.46 × 7,169
  4. Step 4: Simplify right side
    9,125.96x = 98,003,527.74
  5. Step 5: Solve for x
    x = 98,003,527.74/9,125.96
  6. Step 6: Final answer
    x = 10,738.98

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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.