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Finding the Fourth Proportional to 10,224.40, 14,106 and 7,576.24

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Solution

The fourth proportional to 10,224.40, 14,106 and 7,576.24 is: 10,452.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.40 : 14,106 = 7,576.24 : x
  2. Step 2: Convert to fraction form
    10,224.40/14,106 = 7,576.24/x
  3. Step 3: Cross multiply
    10,224.40x = 14,106 × 7,576.24
  4. Step 4: Simplify right side
    10,224.40x = 106,870,441.44
  5. Step 5: Solve for x
    x = 106,870,441.44/10,224.40
  6. Step 6: Final answer
    x = 10,452.49

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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.