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Finding the Fourth Proportional to 9,706.96, 14,549.19 and 4,151.98

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Solution

The fourth proportional to 9,706.96, 14,549.19 and 4,151.98 is: 6,223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.96 : 14,549.19 = 4,151.98 : x
  2. Step 2: Convert to fraction form
    9,706.96/14,549.19 = 4,151.98/x
  3. Step 3: Cross multiply
    9,706.96x = 14,549.19 × 4,151.98
  4. Step 4: Simplify right side
    9,706.96x = 60,407,945.90
  5. Step 5: Solve for x
    x = 60,407,945.90/9,706.96
  6. Step 6: Final answer
    x = 6,223.16

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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.