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Finding the Fourth Proportional to 8,277.40, 12,416.10 and 6,837.40

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Solution

The fourth proportional to 8,277.40, 12,416.10 and 6,837.40 is: 10,256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.40 : 12,416.10 = 6,837.40 : x
  2. Step 2: Convert to fraction form
    8,277.40/12,416.10 = 6,837.40/x
  3. Step 3: Cross multiply
    8,277.40x = 12,416.10 × 6,837.40
  4. Step 4: Simplify right side
    8,277.40x = 84,893,842.14
  5. Step 5: Solve for x
    x = 84,893,842.14/8,277.40
  6. Step 6: Final answer
    x = 10,256.10

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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.