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Finding the Fourth Proportional to 19,352.96, 26,708.64 and 10,970

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Solution

The fourth proportional to 19,352.96, 26,708.64 and 10,970 is: 15,139.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,352.96 : 26,708.64 = 10,970 : x
  2. Step 2: Convert to fraction form
    19,352.96/26,708.64 = 10,970/x
  3. Step 3: Cross multiply
    19,352.96x = 26,708.64 × 10,970
  4. Step 4: Simplify right side
    19,352.96x = 292,993,780.80
  5. Step 5: Solve for x
    x = 292,993,780.80/19,352.96
  6. Step 6: Final answer
    x = 15,139.48

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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.