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Finding the Fourth Proportional to 7,013.14, 10,509.07 and 5,155.41

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Solution

The fourth proportional to 7,013.14, 10,509.07 and 5,155.41 is: 7,725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.14 : 10,509.07 = 5,155.41 : x
  2. Step 2: Convert to fraction form
    7,013.14/10,509.07 = 5,155.41/x
  3. Step 3: Cross multiply
    7,013.14x = 10,509.07 × 5,155.41
  4. Step 4: Simplify right side
    7,013.14x = 54,178,538.30
  5. Step 5: Solve for x
    x = 54,178,538.30/7,013.14
  6. Step 6: Final answer
    x = 7,725.29

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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.