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Finding the Fourth Proportional to 7,836.08, 11,672.68 and 7,411.67

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Solution

The fourth proportional to 7,836.08, 11,672.68 and 7,411.67 is: 11,040.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.08 : 11,672.68 = 7,411.67 : x
  2. Step 2: Convert to fraction form
    7,836.08/11,672.68 = 7,411.67/x
  3. Step 3: Cross multiply
    7,836.08x = 11,672.68 × 7,411.67
  4. Step 4: Simplify right side
    7,836.08x = 86,513,975.28
  5. Step 5: Solve for x
    x = 86,513,975.28/7,836.08
  6. Step 6: Final answer
    x = 11,040.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.