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Finding the Fourth Proportional to 9,543.86, 13,174.65 and 8,946.08

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Solution

The fourth proportional to 9,543.86, 13,174.65 and 8,946.08 is: 12,349.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.86 : 13,174.65 = 8,946.08 : x
  2. Step 2: Convert to fraction form
    9,543.86/13,174.65 = 8,946.08/x
  3. Step 3: Cross multiply
    9,543.86x = 13,174.65 × 8,946.08
  4. Step 4: Simplify right side
    9,543.86x = 117,861,472.87
  5. Step 5: Solve for x
    x = 117,861,472.87/9,543.86
  6. Step 6: Final answer
    x = 12,349.46

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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.