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Finding the Fourth Proportional to 12,113.46, 16,717.46 and 7,398.63

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Solution

The fourth proportional to 12,113.46, 16,717.46 and 7,398.63 is: 10,210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,113.46 : 16,717.46 = 7,398.63 : x
  2. Step 2: Convert to fraction form
    12,113.46/16,717.46 = 7,398.63/x
  3. Step 3: Cross multiply
    12,113.46x = 16,717.46 × 7,398.63
  4. Step 4: Simplify right side
    12,113.46x = 123,686,264.09
  5. Step 5: Solve for x
    x = 123,686,264.09/12,113.46
  6. Step 6: Final answer
    x = 10,210.65

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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.