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Finding the Fourth Proportional to 10,678.11, 16,004.16 and 7,559.00

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Solution

The fourth proportional to 10,678.11, 16,004.16 and 7,559.00 is: 11,329.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.11 : 16,004.16 = 7,559.00 : x
  2. Step 2: Convert to fraction form
    10,678.11/16,004.16 = 7,559.00/x
  3. Step 3: Cross multiply
    10,678.11x = 16,004.16 × 7,559.00
  4. Step 4: Simplify right side
    10,678.11x = 120,975,365.42
  5. Step 5: Solve for x
    x = 120,975,365.42/10,678.11
  6. Step 6: Final answer
    x = 11,329.29

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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.