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Finding the Fourth Proportional to 8,285.04, 11,435.13 and 5,300.46

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Solution

The fourth proportional to 8,285.04, 11,435.13 and 5,300.46 is: 7,315.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.04 : 11,435.13 = 5,300.46 : x
  2. Step 2: Convert to fraction form
    8,285.04/11,435.13 = 5,300.46/x
  3. Step 3: Cross multiply
    8,285.04x = 11,435.13 × 5,300.46
  4. Step 4: Simplify right side
    8,285.04x = 60,611,449.16
  5. Step 5: Solve for x
    x = 60,611,449.16/8,285.04
  6. Step 6: Final answer
    x = 7,315.77

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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.