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Finding the Fourth Proportional to 9,097.76, 13,646.59 and 7,861.41

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Solution

The fourth proportional to 9,097.76, 13,646.59 and 7,861.41 is: 11,792.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.76 : 13,646.59 = 7,861.41 : x
  2. Step 2: Convert to fraction form
    9,097.76/13,646.59 = 7,861.41/x
  3. Step 3: Cross multiply
    9,097.76x = 13,646.59 × 7,861.41
  4. Step 4: Simplify right side
    9,097.76x = 107,281,439.09
  5. Step 5: Solve for x
    x = 107,281,439.09/9,097.76
  6. Step 6: Final answer
    x = 11,792.07

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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.