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Finding the Fourth Proportional to 9,648.36, 14,474.93 and 6,868.14

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Solution

The fourth proportional to 9,648.36, 14,474.93 and 6,868.14 is: 10,303.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.36 : 14,474.93 = 6,868.14 : x
  2. Step 2: Convert to fraction form
    9,648.36/14,474.93 = 6,868.14/x
  3. Step 3: Cross multiply
    9,648.36x = 14,474.93 × 6,868.14
  4. Step 4: Simplify right side
    9,648.36x = 99,415,811.39
  5. Step 5: Solve for x
    x = 99,415,811.39/9,648.36
  6. Step 6: Final answer
    x = 10,303.91

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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.