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Finding the Fourth Proportional to 8,492.19, 11,704.64 and 7,308.51

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Solution

The fourth proportional to 8,492.19, 11,704.64 and 7,308.51 is: 10,073.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.19 : 11,704.64 = 7,308.51 : x
  2. Step 2: Convert to fraction form
    8,492.19/11,704.64 = 7,308.51/x
  3. Step 3: Cross multiply
    8,492.19x = 11,704.64 × 7,308.51
  4. Step 4: Simplify right side
    8,492.19x = 85,543,478.49
  5. Step 5: Solve for x
    x = 85,543,478.49/8,492.19
  6. Step 6: Final answer
    x = 10,073.19

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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.