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Finding the Fourth Proportional to 9,357.87, 12,913.59 and 6,167.28

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Solution

The fourth proportional to 9,357.87, 12,913.59 and 6,167.28 is: 8,510.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.87 : 12,913.59 = 6,167.28 : x
  2. Step 2: Convert to fraction form
    9,357.87/12,913.59 = 6,167.28/x
  3. Step 3: Cross multiply
    9,357.87x = 12,913.59 × 6,167.28
  4. Step 4: Simplify right side
    9,357.87x = 79,641,725.34
  5. Step 5: Solve for x
    x = 79,641,725.34/9,357.87
  6. Step 6: Final answer
    x = 8,510.67

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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.