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Finding the Fourth Proportional to 9,686.03, 13,364.64 and 6,333.77

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Solution

The fourth proportional to 9,686.03, 13,364.64 and 6,333.77 is: 8,739.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.03 : 13,364.64 = 6,333.77 : x
  2. Step 2: Convert to fraction form
    9,686.03/13,364.64 = 6,333.77/x
  3. Step 3: Cross multiply
    9,686.03x = 13,364.64 × 6,333.77
  4. Step 4: Simplify right side
    9,686.03x = 84,648,489.07
  5. Step 5: Solve for x
    x = 84,648,489.07/9,686.03
  6. Step 6: Final answer
    x = 8,739.24

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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.