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Finding the Fourth Proportional to 9,961.94, 14,901.29 and 7,000.17

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Solution

The fourth proportional to 9,961.94, 14,901.29 and 7,000.17 is: 10,471.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.94 : 14,901.29 = 7,000.17 : x
  2. Step 2: Convert to fraction form
    9,961.94/14,901.29 = 7,000.17/x
  3. Step 3: Cross multiply
    9,961.94x = 14,901.29 × 7,000.17
  4. Step 4: Simplify right side
    9,961.94x = 104,311,528.22
  5. Step 5: Solve for x
    x = 104,311,528.22/9,961.94
  6. Step 6: Final answer
    x = 10,471.01

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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.