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Finding the Fourth Proportional to 10,464.48, 14,448.48 and 7,324.80

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Solution

The fourth proportional to 10,464.48, 14,448.48 and 7,324.80 is: 10,113.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.48 : 14,448.48 = 7,324.80 : x
  2. Step 2: Convert to fraction form
    10,464.48/14,448.48 = 7,324.80/x
  3. Step 3: Cross multiply
    10,464.48x = 14,448.48 × 7,324.80
  4. Step 4: Simplify right side
    10,464.48x = 105,832,226.30
  5. Step 5: Solve for x
    x = 105,832,226.30/10,464.48
  6. Step 6: Final answer
    x = 10,113.47

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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.