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Finding the Fourth Proportional to 9,603.89, 14,406.30 and 4,667.65

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Solution

The fourth proportional to 9,603.89, 14,406.30 and 4,667.65 is: 7,001.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.89 : 14,406.30 = 4,667.65 : x
  2. Step 2: Convert to fraction form
    9,603.89/14,406.30 = 4,667.65/x
  3. Step 3: Cross multiply
    9,603.89x = 14,406.30 × 4,667.65
  4. Step 4: Simplify right side
    9,603.89x = 67,243,542.86
  5. Step 5: Solve for x
    x = 67,243,542.86/9,603.89
  6. Step 6: Final answer
    x = 7,001.70

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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.