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Finding the Fourth Proportional to 14,343.66, 19,794.51 and 7,970.84

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Solution

The fourth proportional to 14,343.66, 19,794.51 and 7,970.84 is: 10,999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,343.66 : 19,794.51 = 7,970.84 : x
  2. Step 2: Convert to fraction form
    14,343.66/19,794.51 = 7,970.84/x
  3. Step 3: Cross multiply
    14,343.66x = 19,794.51 × 7,970.84
  4. Step 4: Simplify right side
    14,343.66x = 157,778,872.09
  5. Step 5: Solve for x
    x = 157,778,872.09/14,343.66
  6. Step 6: Final answer
    x = 10,999.90

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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.