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Finding the Fourth Proportional to 9,553.16, 14,329.74 and 9,334.46

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Solution

The fourth proportional to 9,553.16, 14,329.74 and 9,334.46 is: 14,001.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,553.16 : 14,329.74 = 9,334.46 : x
  2. Step 2: Convert to fraction form
    9,553.16/14,329.74 = 9,334.46/x
  3. Step 3: Cross multiply
    9,553.16x = 14,329.74 × 9,334.46
  4. Step 4: Simplify right side
    9,553.16x = 133,760,384.84
  5. Step 5: Solve for x
    x = 133,760,384.84/9,553.16
  6. Step 6: Final answer
    x = 14,001.69

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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.