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Finding the Fourth Proportional to 11,807.46, 17,712.09 and 4,784.13

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Solution

The fourth proportional to 11,807.46, 17,712.09 and 4,784.13 is: 7,176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.46 : 17,712.09 = 4,784.13 : x
  2. Step 2: Convert to fraction form
    11,807.46/17,712.09 = 4,784.13/x
  3. Step 3: Cross multiply
    11,807.46x = 17,712.09 × 4,784.13
  4. Step 4: Simplify right side
    11,807.46x = 84,736,941.13
  5. Step 5: Solve for x
    x = 84,736,941.13/11,807.46
  6. Step 6: Final answer
    x = 7,176.56

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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.