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Finding the Fourth Proportional to 6,495.72, 8,967.54 and 5,205.57

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Solution

The fourth proportional to 6,495.72, 8,967.54 and 5,205.57 is: 7,186.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.72 : 8,967.54 = 5,205.57 : x
  2. Step 2: Convert to fraction form
    6,495.72/8,967.54 = 5,205.57/x
  3. Step 3: Cross multiply
    6,495.72x = 8,967.54 × 5,205.57
  4. Step 4: Simplify right side
    6,495.72x = 46,681,157.20
  5. Step 5: Solve for x
    x = 46,681,157.20/6,495.72
  6. Step 6: Final answer
    x = 7,186.45

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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.