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Finding the Fourth Proportional to 11,477.84, 17,239.80 and 10,032.08

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Solution

The fourth proportional to 11,477.84, 17,239.80 and 10,032.08 is: 15,068.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.84 : 17,239.80 = 10,032.08 : x
  2. Step 2: Convert to fraction form
    11,477.84/17,239.80 = 10,032.08/x
  3. Step 3: Cross multiply
    11,477.84x = 17,239.80 × 10,032.08
  4. Step 4: Simplify right side
    11,477.84x = 172,951,052.78
  5. Step 5: Solve for x
    x = 172,951,052.78/11,477.84
  6. Step 6: Final answer
    x = 15,068.26

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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.