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Finding the Fourth Proportional to 10,594.99, 14,614.63 and 7,614.86

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Solution

The fourth proportional to 10,594.99, 14,614.63 and 7,614.86 is: 10,503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.99 : 14,614.63 = 7,614.86 : x
  2. Step 2: Convert to fraction form
    10,594.99/14,614.63 = 7,614.86/x
  3. Step 3: Cross multiply
    10,594.99x = 14,614.63 × 7,614.86
  4. Step 4: Simplify right side
    10,594.99x = 111,288,351.50
  5. Step 5: Solve for x
    x = 111,288,351.50/10,594.99
  6. Step 6: Final answer
    x = 10,503.87

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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.