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Finding the Fourth Proportional to 11,607.83, 16,019.13 and 6,828.12

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Solution

The fourth proportional to 11,607.83, 16,019.13 and 6,828.12 is: 9,423.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.83 : 16,019.13 = 6,828.12 : x
  2. Step 2: Convert to fraction form
    11,607.83/16,019.13 = 6,828.12/x
  3. Step 3: Cross multiply
    11,607.83x = 16,019.13 × 6,828.12
  4. Step 4: Simplify right side
    11,607.83x = 109,380,541.94
  5. Step 5: Solve for x
    x = 109,380,541.94/11,607.83
  6. Step 6: Final answer
    x = 9,423.00

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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.