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Finding the Fourth Proportional to 7,712.58, 10,642.86 and 4,309.50

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Solution

The fourth proportional to 7,712.58, 10,642.86 and 4,309.50 is: 5,946.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.58 : 10,642.86 = 4,309.50 : x
  2. Step 2: Convert to fraction form
    7,712.58/10,642.86 = 4,309.50/x
  3. Step 3: Cross multiply
    7,712.58x = 10,642.86 × 4,309.50
  4. Step 4: Simplify right side
    7,712.58x = 45,865,405.17
  5. Step 5: Solve for x
    x = 45,865,405.17/7,712.58
  6. Step 6: Final answer
    x = 5,946.83

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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.