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Finding the Fourth Proportional to 9,330.64, 13,954.20 and 8,297.08

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Solution

The fourth proportional to 9,330.64, 13,954.20 and 8,297.08 is: 12,408.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,330.64 : 13,954.20 = 8,297.08 : x
  2. Step 2: Convert to fraction form
    9,330.64/13,954.20 = 8,297.08/x
  3. Step 3: Cross multiply
    9,330.64x = 13,954.20 × 8,297.08
  4. Step 4: Simplify right side
    9,330.64x = 115,779,113.74
  5. Step 5: Solve for x
    x = 115,779,113.74/9,330.64
  6. Step 6: Final answer
    x = 12,408.49

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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.