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Finding the Fourth Proportional to 9,943.66, 14,907.96 and 8,573.14

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Solution

The fourth proportional to 9,943.66, 14,907.96 and 8,573.14 is: 12,853.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,943.66 : 14,907.96 = 8,573.14 : x
  2. Step 2: Convert to fraction form
    9,943.66/14,907.96 = 8,573.14/x
  3. Step 3: Cross multiply
    9,943.66x = 14,907.96 × 8,573.14
  4. Step 4: Simplify right side
    9,943.66x = 127,808,028.19
  5. Step 5: Solve for x
    x = 127,808,028.19/9,943.66
  6. Step 6: Final answer
    x = 12,853.22

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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.