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Finding the Fourth Proportional to 19,971, 29,955.69 and 5,930.46

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Solution

The fourth proportional to 19,971, 29,955.69 and 5,930.46 is: 8,895.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,971 : 29,955.69 = 5,930.46 : x
  2. Step 2: Convert to fraction form
    19,971/29,955.69 = 5,930.46/x
  3. Step 3: Cross multiply
    19,971x = 29,955.69 × 5,930.46
  4. Step 4: Simplify right side
    19,971x = 177,651,021.32
  5. Step 5: Solve for x
    x = 177,651,021.32/19,971
  6. Step 6: Final answer
    x = 8,895.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.