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Finding the Fourth Proportional to 10,649.49, 15,960.54 and 9,985.20

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Solution

The fourth proportional to 10,649.49, 15,960.54 and 9,985.20 is: 14,964.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.49 : 15,960.54 = 9,985.20 : x
  2. Step 2: Convert to fraction form
    10,649.49/15,960.54 = 9,985.20/x
  3. Step 3: Cross multiply
    10,649.49x = 15,960.54 × 9,985.20
  4. Step 4: Simplify right side
    10,649.49x = 159,369,184.01
  5. Step 5: Solve for x
    x = 159,369,184.01/10,649.49
  6. Step 6: Final answer
    x = 14,964.96

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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.