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Finding the Fourth Proportional to 9,293.07, 12,842.87 and 7,611.81

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Solution

The fourth proportional to 9,293.07, 12,842.87 and 7,611.81 is: 10,519.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.07 : 12,842.87 = 7,611.81 : x
  2. Step 2: Convert to fraction form
    9,293.07/12,842.87 = 7,611.81/x
  3. Step 3: Cross multiply
    9,293.07x = 12,842.87 × 7,611.81
  4. Step 4: Simplify right side
    9,293.07x = 97,757,486.29
  5. Step 5: Solve for x
    x = 97,757,486.29/9,293.07
  6. Step 6: Final answer
    x = 10,519.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.