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Finding the Fourth Proportional to 9,994.91, 14,968.47 and 5,765.35

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Solution

The fourth proportional to 9,994.91, 14,968.47 and 5,765.35 is: 8,634.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994.91 : 14,968.47 = 5,765.35 : x
  2. Step 2: Convert to fraction form
    9,994.91/14,968.47 = 5,765.35/x
  3. Step 3: Cross multiply
    9,994.91x = 14,968.47 × 5,765.35
  4. Step 4: Simplify right side
    9,994.91x = 86,298,468.51
  5. Step 5: Solve for x
    x = 86,298,468.51/9,994.91
  6. Step 6: Final answer
    x = 8,634.24

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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.