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Finding the Fourth Proportional to 9,603.50, 14,405.79 and 2,678.54

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Solution

The fourth proportional to 9,603.50, 14,405.79 and 2,678.54 is: 4,017.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.50 : 14,405.79 = 2,678.54 : x
  2. Step 2: Convert to fraction form
    9,603.50/14,405.79 = 2,678.54/x
  3. Step 3: Cross multiply
    9,603.50x = 14,405.79 × 2,678.54
  4. Step 4: Simplify right side
    9,603.50x = 38,586,484.75
  5. Step 5: Solve for x
    x = 38,586,484.75/9,603.50
  6. Step 6: Final answer
    x = 4,017.96

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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.