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Finding the Fourth Proportional to 7,174.48, 9,914.48 and 5,403

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Solution

The fourth proportional to 7,174.48, 9,914.48 and 5,403 is: 7,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.48 : 9,914.48 = 5,403 : x
  2. Step 2: Convert to fraction form
    7,174.48/9,914.48 = 5,403/x
  3. Step 3: Cross multiply
    7,174.48x = 9,914.48 × 5,403
  4. Step 4: Simplify right side
    7,174.48x = 53,567,935.44
  5. Step 5: Solve for x
    x = 53,567,935.44/7,174.48
  6. Step 6: Final answer
    x = 7,466.46

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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.