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Finding the Fourth Proportional to 10,506.84, 14,513.25 and 7,849.64

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Solution

The fourth proportional to 10,506.84, 14,513.25 and 7,849.64 is: 10,842.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.84 : 14,513.25 = 7,849.64 : x
  2. Step 2: Convert to fraction form
    10,506.84/14,513.25 = 7,849.64/x
  3. Step 3: Cross multiply
    10,506.84x = 14,513.25 × 7,849.64
  4. Step 4: Simplify right side
    10,506.84x = 113,923,715.16
  5. Step 5: Solve for x
    x = 113,923,715.16/10,506.84
  6. Step 6: Final answer
    x = 10,842.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.