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Finding the Fourth Proportional to 7,734.99, 11,602.47 and 2,804.62

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Solution

The fourth proportional to 7,734.99, 11,602.47 and 2,804.62 is: 4,206.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.99 : 11,602.47 = 2,804.62 : x
  2. Step 2: Convert to fraction form
    7,734.99/11,602.47 = 2,804.62/x
  3. Step 3: Cross multiply
    7,734.99x = 11,602.47 × 2,804.62
  4. Step 4: Simplify right side
    7,734.99x = 32,540,461.40
  5. Step 5: Solve for x
    x = 32,540,461.40/7,734.99
  6. Step 6: Final answer
    x = 4,206.92

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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.