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Finding the Fourth Proportional to 7,784.66, 11,657.77 and 4,444.62

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Solution

The fourth proportional to 7,784.66, 11,657.77 and 4,444.62 is: 6,655.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.66 : 11,657.77 = 4,444.62 : x
  2. Step 2: Convert to fraction form
    7,784.66/11,657.77 = 4,444.62/x
  3. Step 3: Cross multiply
    7,784.66x = 11,657.77 × 4,444.62
  4. Step 4: Simplify right side
    7,784.66x = 51,814,393.45
  5. Step 5: Solve for x
    x = 51,814,393.45/7,784.66
  6. Step 6: Final answer
    x = 6,655.96

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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.