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Finding the Fourth Proportional to 15,497.40, 23,256.90 and 9,964.20

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Solution

The fourth proportional to 15,497.40, 23,256.90 and 9,964.20 is: 14,953.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,497.40 : 23,256.90 = 9,964.20 : x
  2. Step 2: Convert to fraction form
    15,497.40/23,256.90 = 9,964.20/x
  3. Step 3: Cross multiply
    15,497.40x = 23,256.90 × 9,964.20
  4. Step 4: Simplify right side
    15,497.40x = 231,736,402.98
  5. Step 5: Solve for x
    x = 231,736,402.98/15,497.40
  6. Step 6: Final answer
    x = 14,953.24

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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.