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Finding the Fourth Proportional to 8,403, 11,602.62 and 6,643.68

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Solution

The fourth proportional to 8,403, 11,602.62 and 6,643.68 is: 9,173.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,403 : 11,602.62 = 6,643.68 : x
  2. Step 2: Convert to fraction form
    8,403/11,602.62 = 6,643.68/x
  3. Step 3: Cross multiply
    8,403x = 11,602.62 × 6,643.68
  4. Step 4: Simplify right side
    8,403x = 77,084,094.44
  5. Step 5: Solve for x
    x = 77,084,094.44/8,403
  6. Step 6: Final answer
    x = 9,173.40

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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.