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Finding the Fourth Proportional to 10,544.60, 14,550.54 and 5,828.12

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Solution

The fourth proportional to 10,544.60, 14,550.54 and 5,828.12 is: 8,042.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,544.60 : 14,550.54 = 5,828.12 : x
  2. Step 2: Convert to fraction form
    10,544.60/14,550.54 = 5,828.12/x
  3. Step 3: Cross multiply
    10,544.60x = 14,550.54 × 5,828.12
  4. Step 4: Simplify right side
    10,544.60x = 84,802,293.18
  5. Step 5: Solve for x
    x = 84,802,293.18/10,544.60
  6. Step 6: Final answer
    x = 8,042.25

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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.