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Finding the Fourth Proportional to 9,698.47, 14,518.99 and 5,988.77

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Solution

The fourth proportional to 9,698.47, 14,518.99 and 5,988.77 is: 8,965.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.47 : 14,518.99 = 5,988.77 : x
  2. Step 2: Convert to fraction form
    9,698.47/14,518.99 = 5,988.77/x
  3. Step 3: Cross multiply
    9,698.47x = 14,518.99 × 5,988.77
  4. Step 4: Simplify right side
    9,698.47x = 86,950,891.74
  5. Step 5: Solve for x
    x = 86,950,891.74/9,698.47
  6. Step 6: Final answer
    x = 8,965.42

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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.