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Finding the Fourth Proportional to 7,124.22, 9,823.87 and 4,889.36

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Solution

The fourth proportional to 7,124.22, 9,823.87 and 4,889.36 is: 6,742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.22 : 9,823.87 = 4,889.36 : x
  2. Step 2: Convert to fraction form
    7,124.22/9,823.87 = 4,889.36/x
  3. Step 3: Cross multiply
    7,124.22x = 9,823.87 × 4,889.36
  4. Step 4: Simplify right side
    7,124.22x = 48,032,437.02
  5. Step 5: Solve for x
    x = 48,032,437.02/7,124.22
  6. Step 6: Final answer
    x = 6,742.13

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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.