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Finding the Fourth Proportional to 9,879.32, 13,646.77 and 7,904.00

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Solution

The fourth proportional to 9,879.32, 13,646.77 and 7,904.00 is: 10,918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.32 : 13,646.77 = 7,904.00 : x
  2. Step 2: Convert to fraction form
    9,879.32/13,646.77 = 7,904.00/x
  3. Step 3: Cross multiply
    9,879.32x = 13,646.77 × 7,904.00
  4. Step 4: Simplify right side
    9,879.32x = 107,863,982.09
  5. Step 5: Solve for x
    x = 107,863,982.09/9,879.32
  6. Step 6: Final answer
    x = 10,918.16

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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.