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Finding the Fourth Proportional to 25,539.16, 38,308.77 and 7,071.16

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Solution

The fourth proportional to 25,539.16, 38,308.77 and 7,071.16 is: 10,606.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,539.16 : 38,308.77 = 7,071.16 : x
  2. Step 2: Convert to fraction form
    25,539.16/38,308.77 = 7,071.16/x
  3. Step 3: Cross multiply
    25,539.16x = 38,308.77 × 7,071.16
  4. Step 4: Simplify right side
    25,539.16x = 270,887,442.07
  5. Step 5: Solve for x
    x = 270,887,442.07/25,539.16
  6. Step 6: Final answer
    x = 10,606.75

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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.