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Finding the Fourth Proportional to 8,649.72, 11,931.64 and 5,461.89

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Solution

The fourth proportional to 8,649.72, 11,931.64 and 5,461.89 is: 7,534.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.72 : 11,931.64 = 5,461.89 : x
  2. Step 2: Convert to fraction form
    8,649.72/11,931.64 = 5,461.89/x
  3. Step 3: Cross multiply
    8,649.72x = 11,931.64 × 5,461.89
  4. Step 4: Simplify right side
    8,649.72x = 65,169,305.20
  5. Step 5: Solve for x
    x = 65,169,305.20/8,649.72
  6. Step 6: Final answer
    x = 7,534.27

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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.