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Finding the Fourth Proportional to 6,603.60, 9,114.48 and 4,507.50

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Solution

The fourth proportional to 6,603.60, 9,114.48 and 4,507.50 is: 6,221.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,603.60 : 9,114.48 = 4,507.50 : x
  2. Step 2: Convert to fraction form
    6,603.60/9,114.48 = 4,507.50/x
  3. Step 3: Cross multiply
    6,603.60x = 9,114.48 × 4,507.50
  4. Step 4: Simplify right side
    6,603.60x = 41,083,518.60
  5. Step 5: Solve for x
    x = 41,083,518.60/6,603.60
  6. Step 6: Final answer
    x = 6,221.38

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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.