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Finding the Fourth Proportional to 7,157.08, 9,869.34 and 4,636.36

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Solution

The fourth proportional to 7,157.08, 9,869.34 and 4,636.36 is: 6,393.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.08 : 9,869.34 = 4,636.36 : x
  2. Step 2: Convert to fraction form
    7,157.08/9,869.34 = 4,636.36/x
  3. Step 3: Cross multiply
    7,157.08x = 9,869.34 × 4,636.36
  4. Step 4: Simplify right side
    7,157.08x = 45,757,813.20
  5. Step 5: Solve for x
    x = 45,757,813.20/7,157.08
  6. Step 6: Final answer
    x = 6,393.36

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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.