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Finding the Fourth Proportional to 9,771.71, 14,657.39 and 2,376.12

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Solution

The fourth proportional to 9,771.71, 14,657.39 and 2,376.12 is: 3,564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.71 : 14,657.39 = 2,376.12 : x
  2. Step 2: Convert to fraction form
    9,771.71/14,657.39 = 2,376.12/x
  3. Step 3: Cross multiply
    9,771.71x = 14,657.39 × 2,376.12
  4. Step 4: Simplify right side
    9,771.71x = 34,827,705.65
  5. Step 5: Solve for x
    x = 34,827,705.65/9,771.71
  6. Step 6: Final answer
    x = 3,564.14

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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.