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Finding the Fourth Proportional to 5,823.56, 8,031 and 4,495.16

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Solution

The fourth proportional to 5,823.56, 8,031 and 4,495.16 is: 6,199.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.56 : 8,031 = 4,495.16 : x
  2. Step 2: Convert to fraction form
    5,823.56/8,031 = 4,495.16/x
  3. Step 3: Cross multiply
    5,823.56x = 8,031 × 4,495.16
  4. Step 4: Simplify right side
    5,823.56x = 36,100,629.96
  5. Step 5: Solve for x
    x = 36,100,629.96/5,823.56
  6. Step 6: Final answer
    x = 6,199.07

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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.