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Finding the Fourth Proportional to 6,871.76, 10,305.59 and 3,583.06

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Solution

The fourth proportional to 6,871.76, 10,305.59 and 3,583.06 is: 5,373.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.76 : 10,305.59 = 3,583.06 : x
  2. Step 2: Convert to fraction form
    6,871.76/10,305.59 = 3,583.06/x
  3. Step 3: Cross multiply
    6,871.76x = 10,305.59 × 3,583.06
  4. Step 4: Simplify right side
    6,871.76x = 36,925,503.63
  5. Step 5: Solve for x
    x = 36,925,503.63/6,871.76
  6. Step 6: Final answer
    x = 5,373.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.