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Finding the Fourth Proportional to 13,055, 19,538.75 and 10,714.91

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Solution

The fourth proportional to 13,055, 19,538.75 and 10,714.91 is: 16,036.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,055 : 19,538.75 = 10,714.91 : x
  2. Step 2: Convert to fraction form
    13,055/19,538.75 = 10,714.91/x
  3. Step 3: Cross multiply
    13,055x = 19,538.75 × 10,714.91
  4. Step 4: Simplify right side
    13,055x = 209,355,947.76
  5. Step 5: Solve for x
    x = 209,355,947.76/13,055
  6. Step 6: Final answer
    x = 16,036.46

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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.