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Finding the Fourth Proportional to 27,468.10, 41,202.15 and 7,746.40

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Solution

The fourth proportional to 27,468.10, 41,202.15 and 7,746.40 is: 11,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,468.10 : 41,202.15 = 7,746.40 : x
  2. Step 2: Convert to fraction form
    27,468.10/41,202.15 = 7,746.40/x
  3. Step 3: Cross multiply
    27,468.10x = 41,202.15 × 7,746.40
  4. Step 4: Simplify right side
    27,468.10x = 319,168,334.76
  5. Step 5: Solve for x
    x = 319,168,334.76/27,468.10
  6. Step 6: Final answer
    x = 11,619.60

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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.