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Finding the Fourth Proportional to 7,846.63, 10,828.65 and 4,309.99

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Solution

The fourth proportional to 7,846.63, 10,828.65 and 4,309.99 is: 5,947.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.63 : 10,828.65 = 4,309.99 : x
  2. Step 2: Convert to fraction form
    7,846.63/10,828.65 = 4,309.99/x
  3. Step 3: Cross multiply
    7,846.63x = 10,828.65 × 4,309.99
  4. Step 4: Simplify right side
    7,846.63x = 46,671,373.21
  5. Step 5: Solve for x
    x = 46,671,373.21/7,846.63
  6. Step 6: Final answer
    x = 5,947.95

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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.