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Finding the Fourth Proportional to 7,184.99, 9,913.65 and 4,159.64

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Solution

The fourth proportional to 7,184.99, 9,913.65 and 4,159.64 is: 5,739.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.99 : 9,913.65 = 4,159.64 : x
  2. Step 2: Convert to fraction form
    7,184.99/9,913.65 = 4,159.64/x
  3. Step 3: Cross multiply
    7,184.99x = 9,913.65 × 4,159.64
  4. Step 4: Simplify right side
    7,184.99x = 41,237,215.09
  5. Step 5: Solve for x
    x = 41,237,215.09/7,184.99
  6. Step 6: Final answer
    x = 5,739.36

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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.