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Finding the Fourth Proportional to 7,495.70, 10,338.68 and 5,724.22

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Solution

The fourth proportional to 7,495.70, 10,338.68 and 5,724.22 is: 7,895.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,495.70 : 10,338.68 = 5,724.22 : x
  2. Step 2: Convert to fraction form
    7,495.70/10,338.68 = 5,724.22/x
  3. Step 3: Cross multiply
    7,495.70x = 10,338.68 × 5,724.22
  4. Step 4: Simplify right side
    7,495.70x = 59,180,878.83
  5. Step 5: Solve for x
    x = 59,180,878.83/7,495.70
  6. Step 6: Final answer
    x = 7,895.31

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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.