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Finding the Fourth Proportional to 9,762.54, 13,473.63 and 5,987.94

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Solution

The fourth proportional to 9,762.54, 13,473.63 and 5,987.94 is: 8,264.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.54 : 13,473.63 = 5,987.94 : x
  2. Step 2: Convert to fraction form
    9,762.54/13,473.63 = 5,987.94/x
  3. Step 3: Cross multiply
    9,762.54x = 13,473.63 × 5,987.94
  4. Step 4: Simplify right side
    9,762.54x = 80,679,288.02
  5. Step 5: Solve for x
    x = 80,679,288.02/9,762.54
  6. Step 6: Final answer
    x = 8,264.17

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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.