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Finding the Fourth Proportional to 6,535, 8,987.34 and 5,192.92

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Solution

The fourth proportional to 6,535, 8,987.34 and 5,192.92 is: 7,141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535 : 8,987.34 = 5,192.92 : x
  2. Step 2: Convert to fraction form
    6,535/8,987.34 = 5,192.92/x
  3. Step 3: Cross multiply
    6,535x = 8,987.34 × 5,192.92
  4. Step 4: Simplify right side
    6,535x = 46,670,537.63
  5. Step 5: Solve for x
    x = 46,670,537.63/6,535
  6. Step 6: Final answer
    x = 7,141.63

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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.