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Finding the Fourth Proportional to 11,678.08, 16,116 and 6,710.08

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Solution

The fourth proportional to 11,678.08, 16,116 and 6,710.08 is: 9,260.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.08 : 16,116 = 6,710.08 : x
  2. Step 2: Convert to fraction form
    11,678.08/16,116 = 6,710.08/x
  3. Step 3: Cross multiply
    11,678.08x = 16,116 × 6,710.08
  4. Step 4: Simplify right side
    11,678.08x = 108,139,649.28
  5. Step 5: Solve for x
    x = 108,139,649.28/11,678.08
  6. Step 6: Final answer
    x = 9,260.05

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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.