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Finding the Fourth Proportional to 9,597.80, 14,404.80 and 4,671.65

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Solution

The fourth proportional to 9,597.80, 14,404.80 and 4,671.65 is: 7,011.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.80 : 14,404.80 = 4,671.65 : x
  2. Step 2: Convert to fraction form
    9,597.80/14,404.80 = 4,671.65/x
  3. Step 3: Cross multiply
    9,597.80x = 14,404.80 × 4,671.65
  4. Step 4: Simplify right side
    9,597.80x = 67,294,183.92
  5. Step 5: Solve for x
    x = 67,294,183.92/9,597.80
  6. Step 6: Final answer
    x = 7,011.42

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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.