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Finding the Fourth Proportional to 12,415, 17,127.84 and 7,106.96

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Solution

The fourth proportional to 12,415, 17,127.84 and 7,106.96 is: 9,804.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415 : 17,127.84 = 7,106.96 : x
  2. Step 2: Convert to fraction form
    12,415/17,127.84 = 7,106.96/x
  3. Step 3: Cross multiply
    12,415x = 17,127.84 × 7,106.96
  4. Step 4: Simplify right side
    12,415x = 121,726,873.77
  5. Step 5: Solve for x
    x = 121,726,873.77/12,415
  6. Step 6: Final answer
    x = 9,804.82

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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.