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Finding the Fourth Proportional to 11,117.70, 16,676.55 and 10,024.20

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Solution

The fourth proportional to 11,117.70, 16,676.55 and 10,024.20 is: 15,036.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,117.70 : 16,676.55 = 10,024.20 : x
  2. Step 2: Convert to fraction form
    11,117.70/16,676.55 = 10,024.20/x
  3. Step 3: Cross multiply
    11,117.70x = 16,676.55 × 10,024.20
  4. Step 4: Simplify right side
    11,117.70x = 167,169,072.51
  5. Step 5: Solve for x
    x = 167,169,072.51/11,117.70
  6. Step 6: Final answer
    x = 15,036.30

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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.