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Finding the Fourth Proportional to 9,522.71, 14,289.46 and 5,140.07

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Solution

The fourth proportional to 9,522.71, 14,289.46 and 5,140.07 is: 7,713.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.71 : 14,289.46 = 5,140.07 : x
  2. Step 2: Convert to fraction form
    9,522.71/14,289.46 = 5,140.07/x
  3. Step 3: Cross multiply
    9,522.71x = 14,289.46 × 5,140.07
  4. Step 4: Simplify right side
    9,522.71x = 73,448,740.36
  5. Step 5: Solve for x
    x = 73,448,740.36/9,522.71
  6. Step 6: Final answer
    x = 7,713.01

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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.