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Finding the Fourth Proportional to 9,584.28, 14,381.28 and 4,389.48

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Solution

The fourth proportional to 9,584.28, 14,381.28 and 4,389.48 is: 6,586.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.28 : 14,381.28 = 4,389.48 : x
  2. Step 2: Convert to fraction form
    9,584.28/14,381.28 = 4,389.48/x
  3. Step 3: Cross multiply
    9,584.28x = 14,381.28 × 4,389.48
  4. Step 4: Simplify right side
    9,584.28x = 63,126,340.93
  5. Step 5: Solve for x
    x = 63,126,340.93/9,584.28
  6. Step 6: Final answer
    x = 6,586.45

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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.