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Finding the Fourth Proportional to 14,319.84, 19,761.12 and 7,946.22

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Solution

The fourth proportional to 14,319.84, 19,761.12 and 7,946.22 is: 10,965.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,319.84 : 19,761.12 = 7,946.22 : x
  2. Step 2: Convert to fraction form
    14,319.84/19,761.12 = 7,946.22/x
  3. Step 3: Cross multiply
    14,319.84x = 19,761.12 × 7,946.22
  4. Step 4: Simplify right side
    14,319.84x = 157,026,206.97
  5. Step 5: Solve for x
    x = 157,026,206.97/14,319.84
  6. Step 6: Final answer
    x = 10,965.64

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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.