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Finding the Fourth Proportional to 9,973.99, 13,764.16 and 5,498

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Solution

The fourth proportional to 9,973.99, 13,764.16 and 5,498 is: 7,587.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.99 : 13,764.16 = 5,498 : x
  2. Step 2: Convert to fraction form
    9,973.99/13,764.16 = 5,498/x
  3. Step 3: Cross multiply
    9,973.99x = 13,764.16 × 5,498
  4. Step 4: Simplify right side
    9,973.99x = 75,675,351.68
  5. Step 5: Solve for x
    x = 75,675,351.68/9,973.99
  6. Step 6: Final answer
    x = 7,587.27

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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.