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Finding the Fourth Proportional to 12,386.09, 17,107 and 8,156.06

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Solution

The fourth proportional to 12,386.09, 17,107 and 8,156.06 is: 11,264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386.09 : 17,107 = 8,156.06 : x
  2. Step 2: Convert to fraction form
    12,386.09/17,107 = 8,156.06/x
  3. Step 3: Cross multiply
    12,386.09x = 17,107 × 8,156.06
  4. Step 4: Simplify right side
    12,386.09x = 139,525,718.42
  5. Step 5: Solve for x
    x = 139,525,718.42/12,386.09
  6. Step 6: Final answer
    x = 11,264.71

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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.