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Finding the Fourth Proportional to 8,237.69, 11,368.01 and 4,700.97

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Solution

The fourth proportional to 8,237.69, 11,368.01 and 4,700.97 is: 6,487.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.69 : 11,368.01 = 4,700.97 : x
  2. Step 2: Convert to fraction form
    8,237.69/11,368.01 = 4,700.97/x
  3. Step 3: Cross multiply
    8,237.69x = 11,368.01 × 4,700.97
  4. Step 4: Simplify right side
    8,237.69x = 53,440,673.97
  5. Step 5: Solve for x
    x = 53,440,673.97/8,237.69
  6. Step 6: Final answer
    x = 6,487.34

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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.