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Finding the Fourth Proportional to 7,698.88, 10,624.50 and 4,341.76

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Solution

The fourth proportional to 7,698.88, 10,624.50 and 4,341.76 is: 5,991.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.88 : 10,624.50 = 4,341.76 : x
  2. Step 2: Convert to fraction form
    7,698.88/10,624.50 = 4,341.76/x
  3. Step 3: Cross multiply
    7,698.88x = 10,624.50 × 4,341.76
  4. Step 4: Simplify right side
    7,698.88x = 46,129,029.12
  5. Step 5: Solve for x
    x = 46,129,029.12/7,698.88
  6. Step 6: Final answer
    x = 5,991.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.