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Finding the Fourth Proportional to 9,726.07, 13,422 and 5,477.20

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Solution

The fourth proportional to 9,726.07, 13,422 and 5,477.20 is: 7,558.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.07 : 13,422 = 5,477.20 : x
  2. Step 2: Convert to fraction form
    9,726.07/13,422 = 5,477.20/x
  3. Step 3: Cross multiply
    9,726.07x = 13,422 × 5,477.20
  4. Step 4: Simplify right side
    9,726.07x = 73,514,978.40
  5. Step 5: Solve for x
    x = 73,514,978.40/9,726.07
  6. Step 6: Final answer
    x = 7,558.55

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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.