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Finding the Fourth Proportional to 9,867.36, 13,596.48 and 7,344.48

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Solution

The fourth proportional to 9,867.36, 13,596.48 and 7,344.48 is: 10,120.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.36 : 13,596.48 = 7,344.48 : x
  2. Step 2: Convert to fraction form
    9,867.36/13,596.48 = 7,344.48/x
  3. Step 3: Cross multiply
    9,867.36x = 13,596.48 × 7,344.48
  4. Step 4: Simplify right side
    9,867.36x = 99,859,075.43
  5. Step 5: Solve for x
    x = 99,859,075.43/9,867.36
  6. Step 6: Final answer
    x = 10,120.14

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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.