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Finding the Fourth Proportional to 10,975.84, 16,463.68 and 9,328.48

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Solution

The fourth proportional to 10,975.84, 16,463.68 and 9,328.48 is: 13,992.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975.84 : 16,463.68 = 9,328.48 : x
  2. Step 2: Convert to fraction form
    10,975.84/16,463.68 = 9,328.48/x
  3. Step 3: Cross multiply
    10,975.84x = 16,463.68 × 9,328.48
  4. Step 4: Simplify right side
    10,975.84x = 153,581,109.61
  5. Step 5: Solve for x
    x = 153,581,109.61/10,975.84
  6. Step 6: Final answer
    x = 13,992.65

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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.