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Finding the Fourth Proportional to 8,434.05, 11,637.05 and 4,895.16

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Solution

The fourth proportional to 8,434.05, 11,637.05 and 4,895.16 is: 6,754.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.05 : 11,637.05 = 4,895.16 : x
  2. Step 2: Convert to fraction form
    8,434.05/11,637.05 = 4,895.16/x
  3. Step 3: Cross multiply
    8,434.05x = 11,637.05 × 4,895.16
  4. Step 4: Simplify right side
    8,434.05x = 56,965,197.20
  5. Step 5: Solve for x
    x = 56,965,197.20/8,434.05
  6. Step 6: Final answer
    x = 6,754.19

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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.