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Finding the Fourth Proportional to 7,816.68, 11,702.94 and 6,248.68

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Solution

The fourth proportional to 7,816.68, 11,702.94 and 6,248.68 is: 9,355.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816.68 : 11,702.94 = 6,248.68 : x
  2. Step 2: Convert to fraction form
    7,816.68/11,702.94 = 6,248.68/x
  3. Step 3: Cross multiply
    7,816.68x = 11,702.94 × 6,248.68
  4. Step 4: Simplify right side
    7,816.68x = 73,127,927.12
  5. Step 5: Solve for x
    x = 73,127,927.12/7,816.68
  6. Step 6: Final answer
    x = 9,355.37

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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.