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Finding the Fourth Proportional to 7,271.40, 10,907.10 and 4,967.40

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Solution

The fourth proportional to 7,271.40, 10,907.10 and 4,967.40 is: 7,451.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271.40 : 10,907.10 = 4,967.40 : x
  2. Step 2: Convert to fraction form
    7,271.40/10,907.10 = 4,967.40/x
  3. Step 3: Cross multiply
    7,271.40x = 10,907.10 × 4,967.40
  4. Step 4: Simplify right side
    7,271.40x = 54,179,928.54
  5. Step 5: Solve for x
    x = 54,179,928.54/7,271.40
  6. Step 6: Final answer
    x = 7,451.10

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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.