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Finding the Fourth Proportional to 8,434.60, 11,628.90 and 6,916.59

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Solution

The fourth proportional to 8,434.60, 11,628.90 and 6,916.59 is: 9,536.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.60 : 11,628.90 = 6,916.59 : x
  2. Step 2: Convert to fraction form
    8,434.60/11,628.90 = 6,916.59/x
  3. Step 3: Cross multiply
    8,434.60x = 11,628.90 × 6,916.59
  4. Step 4: Simplify right side
    8,434.60x = 80,432,333.45
  5. Step 5: Solve for x
    x = 80,432,333.45/8,434.60
  6. Step 6: Final answer
    x = 9,536.00

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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.