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Finding the Fourth Proportional to 7,806.47, 10,774.21 and 5,803.19

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Solution

The fourth proportional to 7,806.47, 10,774.21 and 5,803.19 is: 8,009.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.47 : 10,774.21 = 5,803.19 : x
  2. Step 2: Convert to fraction form
    7,806.47/10,774.21 = 5,803.19/x
  3. Step 3: Cross multiply
    7,806.47x = 10,774.21 × 5,803.19
  4. Step 4: Simplify right side
    7,806.47x = 62,524,787.73
  5. Step 5: Solve for x
    x = 62,524,787.73/7,806.47
  6. Step 6: Final answer
    x = 8,009.35

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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.