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Finding the Fourth Proportional to 14,663.50, 20,235.51 and 7,948.96

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Solution

The fourth proportional to 14,663.50, 20,235.51 and 7,948.96 is: 10,969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,663.50 : 20,235.51 = 7,948.96 : x
  2. Step 2: Convert to fraction form
    14,663.50/20,235.51 = 7,948.96/x
  3. Step 3: Cross multiply
    14,663.50x = 20,235.51 × 7,948.96
  4. Step 4: Simplify right side
    14,663.50x = 160,851,208.98
  5. Step 5: Solve for x
    x = 160,851,208.98/14,663.50
  6. Step 6: Final answer
    x = 10,969.50

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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.