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Finding the Fourth Proportional to 6,303, 8,698.52 and 5,253.24

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Solution

The fourth proportional to 6,303, 8,698.52 and 5,253.24 is: 7,249.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303 : 8,698.52 = 5,253.24 : x
  2. Step 2: Convert to fraction form
    6,303/8,698.52 = 5,253.24/x
  3. Step 3: Cross multiply
    6,303x = 8,698.52 × 5,253.24
  4. Step 4: Simplify right side
    6,303x = 45,695,413.20
  5. Step 5: Solve for x
    x = 45,695,413.20/6,303
  6. Step 6: Final answer
    x = 7,249.79

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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.