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Finding the Fourth Proportional to 6,598.22, 9,897.34 and 2,705.36

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Solution

The fourth proportional to 6,598.22, 9,897.34 and 2,705.36 is: 4,058.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.22 : 9,897.34 = 2,705.36 : x
  2. Step 2: Convert to fraction form
    6,598.22/9,897.34 = 2,705.36/x
  3. Step 3: Cross multiply
    6,598.22x = 9,897.34 × 2,705.36
  4. Step 4: Simplify right side
    6,598.22x = 26,775,886.16
  5. Step 5: Solve for x
    x = 26,775,886.16/6,598.22
  6. Step 6: Final answer
    x = 4,058.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.