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Finding the Fourth Proportional to 11,612.23, 16,025 and 6,307.15

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Solution

The fourth proportional to 11,612.23, 16,025 and 6,307.15 is: 8,703.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.23 : 16,025 = 6,307.15 : x
  2. Step 2: Convert to fraction form
    11,612.23/16,025 = 6,307.15/x
  3. Step 3: Cross multiply
    11,612.23x = 16,025 × 6,307.15
  4. Step 4: Simplify right side
    11,612.23x = 101,072,078.75
  5. Step 5: Solve for x
    x = 101,072,078.75/11,612.23
  6. Step 6: Final answer
    x = 8,703.93

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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.