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Finding the Fourth Proportional to 7,141.86, 10,698.54 and 6,532.74

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Solution

The fourth proportional to 7,141.86, 10,698.54 and 6,532.74 is: 9,786.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.86 : 10,698.54 = 6,532.74 : x
  2. Step 2: Convert to fraction form
    7,141.86/10,698.54 = 6,532.74/x
  3. Step 3: Cross multiply
    7,141.86x = 10,698.54 × 6,532.74
  4. Step 4: Simplify right side
    7,141.86x = 69,890,780.20
  5. Step 5: Solve for x
    x = 69,890,780.20/7,141.86
  6. Step 6: Final answer
    x = 9,786.08

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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.