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Finding the Fourth Proportional to 9,797.20, 14,698.23 and 4,597

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Solution

The fourth proportional to 9,797.20, 14,698.23 and 4,597 is: 6,896.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.20 : 14,698.23 = 4,597 : x
  2. Step 2: Convert to fraction form
    9,797.20/14,698.23 = 4,597/x
  3. Step 3: Cross multiply
    9,797.20x = 14,698.23 × 4,597
  4. Step 4: Simplify right side
    9,797.20x = 67,567,763.31
  5. Step 5: Solve for x
    x = 67,567,763.31/9,797.20
  6. Step 6: Final answer
    x = 6,896.64

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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.