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Finding the Fourth Proportional to 13,785.70, 19,024.17 and 7,498.07

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Solution

The fourth proportional to 13,785.70, 19,024.17 and 7,498.07 is: 10,347.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.70 : 19,024.17 = 7,498.07 : x
  2. Step 2: Convert to fraction form
    13,785.70/19,024.17 = 7,498.07/x
  3. Step 3: Cross multiply
    13,785.70x = 19,024.17 × 7,498.07
  4. Step 4: Simplify right side
    13,785.70x = 142,644,558.35
  5. Step 5: Solve for x
    x = 142,644,558.35/13,785.70
  6. Step 6: Final answer
    x = 10,347.28

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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.