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Finding the Fourth Proportional to 6,647.72, 9,973.80 and 2,488.16

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Solution

The fourth proportional to 6,647.72, 9,973.80 and 2,488.16 is: 3,733.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.72 : 9,973.80 = 2,488.16 : x
  2. Step 2: Convert to fraction form
    6,647.72/9,973.80 = 2,488.16/x
  3. Step 3: Cross multiply
    6,647.72x = 9,973.80 × 2,488.16
  4. Step 4: Simplify right side
    6,647.72x = 24,816,435.14
  5. Step 5: Solve for x
    x = 24,816,435.14/6,647.72
  6. Step 6: Final answer
    x = 3,733.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.