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Finding the Fourth Proportional to 10,027.68, 13,848.48 and 8,468.16

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Solution

The fourth proportional to 10,027.68, 13,848.48 and 8,468.16 is: 11,694.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.68 : 13,848.48 = 8,468.16 : x
  2. Step 2: Convert to fraction form
    10,027.68/13,848.48 = 8,468.16/x
  3. Step 3: Cross multiply
    10,027.68x = 13,848.48 × 8,468.16
  4. Step 4: Simplify right side
    10,027.68x = 117,271,144.40
  5. Step 5: Solve for x
    x = 117,271,144.40/10,027.68
  6. Step 6: Final answer
    x = 11,694.74

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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.