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Finding the Fourth Proportional to 8,510.31, 11,744.12 and 4,784.31

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Solution

The fourth proportional to 8,510.31, 11,744.12 and 4,784.31 is: 6,602.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.31 : 11,744.12 = 4,784.31 : x
  2. Step 2: Convert to fraction form
    8,510.31/11,744.12 = 4,784.31/x
  3. Step 3: Cross multiply
    8,510.31x = 11,744.12 × 4,784.31
  4. Step 4: Simplify right side
    8,510.31x = 56,187,486.84
  5. Step 5: Solve for x
    x = 56,187,486.84/8,510.31
  6. Step 6: Final answer
    x = 6,602.28

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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.