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Finding the Fourth Proportional to 14,322.60, 19,764.60 and 7,949.46

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Solution

The fourth proportional to 14,322.60, 19,764.60 and 7,949.46 is: 10,969.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,322.60 : 19,764.60 = 7,949.46 : x
  2. Step 2: Convert to fraction form
    14,322.60/19,764.60 = 7,949.46/x
  3. Step 3: Cross multiply
    14,322.60x = 19,764.60 × 7,949.46
  4. Step 4: Simplify right side
    14,322.60x = 157,117,897.12
  5. Step 5: Solve for x
    x = 157,117,897.12/14,322.60
  6. Step 6: Final answer
    x = 10,969.93

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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.