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Finding the Fourth Proportional to 8,433.83, 11,638.62 and 4,657

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Solution

The fourth proportional to 8,433.83, 11,638.62 and 4,657 is: 6,426.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433.83 : 11,638.62 = 4,657 : x
  2. Step 2: Convert to fraction form
    8,433.83/11,638.62 = 4,657/x
  3. Step 3: Cross multiply
    8,433.83x = 11,638.62 × 4,657
  4. Step 4: Simplify right side
    8,433.83x = 54,201,053.34
  5. Step 5: Solve for x
    x = 54,201,053.34/8,433.83
  6. Step 6: Final answer
    x = 6,426.62

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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.