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Finding the Fourth Proportional to 11,447.97, 15,798.54 and 6,412.17

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Solution

The fourth proportional to 11,447.97, 15,798.54 and 6,412.17 is: 8,848.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.97 : 15,798.54 = 6,412.17 : x
  2. Step 2: Convert to fraction form
    11,447.97/15,798.54 = 6,412.17/x
  3. Step 3: Cross multiply
    11,447.97x = 15,798.54 × 6,412.17
  4. Step 4: Simplify right side
    11,447.97x = 101,302,924.23
  5. Step 5: Solve for x
    x = 101,302,924.23/11,447.97
  6. Step 6: Final answer
    x = 8,848.99

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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.