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Finding the Fourth Proportional to 9,082.48, 12,567 and 7,907.44

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Solution

The fourth proportional to 9,082.48, 12,567 and 7,907.44 is: 10,941.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.48 : 12,567 = 7,907.44 : x
  2. Step 2: Convert to fraction form
    9,082.48/12,567 = 7,907.44/x
  3. Step 3: Cross multiply
    9,082.48x = 12,567 × 7,907.44
  4. Step 4: Simplify right side
    9,082.48x = 99,372,798.48
  5. Step 5: Solve for x
    x = 99,372,798.48/9,082.48
  6. Step 6: Final answer
    x = 10,941.15

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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.