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Finding the Fourth Proportional to 10,857.48, 16,284.48 and 3,066.84

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Solution

The fourth proportional to 10,857.48, 16,284.48 and 3,066.84 is: 4,599.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.48 : 16,284.48 = 3,066.84 : x
  2. Step 2: Convert to fraction form
    10,857.48/16,284.48 = 3,066.84/x
  3. Step 3: Cross multiply
    10,857.48x = 16,284.48 × 3,066.84
  4. Step 4: Simplify right side
    10,857.48x = 49,941,894.64
  5. Step 5: Solve for x
    x = 49,941,894.64/10,857.48
  6. Step 6: Final answer
    x = 4,599.77

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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.