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Finding the Fourth Proportional to 9,271.40, 13,907.10 and 3,115.40

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Solution

The fourth proportional to 9,271.40, 13,907.10 and 3,115.40 is: 4,673.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.40 : 13,907.10 = 3,115.40 : x
  2. Step 2: Convert to fraction form
    9,271.40/13,907.10 = 3,115.40/x
  3. Step 3: Cross multiply
    9,271.40x = 13,907.10 × 3,115.40
  4. Step 4: Simplify right side
    9,271.40x = 43,326,179.34
  5. Step 5: Solve for x
    x = 43,326,179.34/9,271.40
  6. Step 6: Final answer
    x = 4,673.10

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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.