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Finding the Fourth Proportional to 15,398.40, 21,254.40 and 9,811.20

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Solution

The fourth proportional to 15,398.40, 21,254.40 and 9,811.20 is: 13,542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,398.40 : 21,254.40 = 9,811.20 : x
  2. Step 2: Convert to fraction form
    15,398.40/21,254.40 = 9,811.20/x
  3. Step 3: Cross multiply
    15,398.40x = 21,254.40 × 9,811.20
  4. Step 4: Simplify right side
    15,398.40x = 208,531,169.28
  5. Step 5: Solve for x
    x = 208,531,169.28/15,398.40
  6. Step 6: Final answer
    x = 13,542.39

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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.