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Finding the Fourth Proportional to 8,238.47, 11,368.24 and 4,701

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Solution

The fourth proportional to 8,238.47, 11,368.24 and 4,701 is: 6,486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.47 : 11,368.24 = 4,701 : x
  2. Step 2: Convert to fraction form
    8,238.47/11,368.24 = 4,701/x
  3. Step 3: Cross multiply
    8,238.47x = 11,368.24 × 4,701
  4. Step 4: Simplify right side
    8,238.47x = 53,442,096.24
  5. Step 5: Solve for x
    x = 53,442,096.24/8,238.47
  6. Step 6: Final answer
    x = 6,486.90

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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.