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Finding the Fourth Proportional to 9,535.91, 13,145.94 and 7,854.66

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Solution

The fourth proportional to 9,535.91, 13,145.94 and 7,854.66 is: 10,828.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.91 : 13,145.94 = 7,854.66 : x
  2. Step 2: Convert to fraction form
    9,535.91/13,145.94 = 7,854.66/x
  3. Step 3: Cross multiply
    9,535.91x = 13,145.94 × 7,854.66
  4. Step 4: Simplify right side
    9,535.91x = 103,256,889.08
  5. Step 5: Solve for x
    x = 103,256,889.08/9,535.91
  6. Step 6: Final answer
    x = 10,828.22

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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.