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Finding the Fourth Proportional to 6,152, 9,227.96 and 1,535

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Solution

The fourth proportional to 6,152, 9,227.96 and 1,535 is: 2,302.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152 : 9,227.96 = 1,535 : x
  2. Step 2: Convert to fraction form
    6,152/9,227.96 = 1,535/x
  3. Step 3: Cross multiply
    6,152x = 9,227.96 × 1,535
  4. Step 4: Simplify right side
    6,152x = 14,164,918.60
  5. Step 5: Solve for x
    x = 14,164,918.60/6,152
  6. Step 6: Final answer
    x = 2,302.49

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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.