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Finding the Fourth Proportional to 11,607.21, 16,018.28 and 6,827.51

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Solution

The fourth proportional to 11,607.21, 16,018.28 and 6,827.51 is: 9,422.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.21 : 16,018.28 = 6,827.51 : x
  2. Step 2: Convert to fraction form
    11,607.21/16,018.28 = 6,827.51/x
  3. Step 3: Cross multiply
    11,607.21x = 16,018.28 × 6,827.51
  4. Step 4: Simplify right side
    11,607.21x = 109,364,852.65
  5. Step 5: Solve for x
    x = 109,364,852.65/11,607.21
  6. Step 6: Final answer
    x = 9,422.15

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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.