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Finding the Fourth Proportional to 9,603.83, 14,393.44 and 7,407.96

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Solution

The fourth proportional to 9,603.83, 14,393.44 and 7,407.96 is: 11,102.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.83 : 14,393.44 = 7,407.96 : x
  2. Step 2: Convert to fraction form
    9,603.83/14,393.44 = 7,407.96/x
  3. Step 3: Cross multiply
    9,603.83x = 14,393.44 × 7,407.96
  4. Step 4: Simplify right side
    9,603.83x = 106,626,027.78
  5. Step 5: Solve for x
    x = 106,626,027.78/9,603.83
  6. Step 6: Final answer
    x = 11,102.45

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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.