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Finding the Fourth Proportional to 9,271.97, 13,907.95 and 2,698.21

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Solution

The fourth proportional to 9,271.97, 13,907.95 and 2,698.21 is: 4,047.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.97 : 13,907.95 = 2,698.21 : x
  2. Step 2: Convert to fraction form
    9,271.97/13,907.95 = 2,698.21/x
  3. Step 3: Cross multiply
    9,271.97x = 13,907.95 × 2,698.21
  4. Step 4: Simplify right side
    9,271.97x = 37,526,595.59
  5. Step 5: Solve for x
    x = 37,526,595.59/9,271.97
  6. Step 6: Final answer
    x = 4,047.32

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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.