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Finding the Fourth Proportional to 15,854.78, 23,782.41 and 7,535.65

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Solution

The fourth proportional to 15,854.78, 23,782.41 and 7,535.65 is: 11,303.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.78 : 23,782.41 = 7,535.65 : x
  2. Step 2: Convert to fraction form
    15,854.78/23,782.41 = 7,535.65/x
  3. Step 3: Cross multiply
    15,854.78x = 23,782.41 × 7,535.65
  4. Step 4: Simplify right side
    15,854.78x = 179,215,858.46
  5. Step 5: Solve for x
    x = 179,215,858.46/15,854.78
  6. Step 6: Final answer
    x = 11,303.58

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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.