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Finding the Fourth Proportional to 10,496.21, 15,744.31 and 9,970.63

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Solution

The fourth proportional to 10,496.21, 15,744.31 and 9,970.63 is: 14,955.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.21 : 15,744.31 = 9,970.63 : x
  2. Step 2: Convert to fraction form
    10,496.21/15,744.31 = 9,970.63/x
  3. Step 3: Cross multiply
    10,496.21x = 15,744.31 × 9,970.63
  4. Step 4: Simplify right side
    10,496.21x = 156,980,625.33
  5. Step 5: Solve for x
    x = 156,980,625.33/10,496.21
  6. Step 6: Final answer
    x = 14,955.94

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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.