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Finding the Fourth Proportional to 13,794.52, 19,036.26 and 7,506.76

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Solution

The fourth proportional to 13,794.52, 19,036.26 and 7,506.76 is: 10,359.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.52 : 19,036.26 = 7,506.76 : x
  2. Step 2: Convert to fraction form
    13,794.52/19,036.26 = 7,506.76/x
  3. Step 3: Cross multiply
    13,794.52x = 19,036.26 × 7,506.76
  4. Step 4: Simplify right side
    13,794.52x = 142,900,635.12
  5. Step 5: Solve for x
    x = 142,900,635.12/13,794.52
  6. Step 6: Final answer
    x = 10,359.23

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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.