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Finding the Fourth Proportional to 9,054.36, 13,509.54 and 7,946.28

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Solution

The fourth proportional to 9,054.36, 13,509.54 and 7,946.28 is: 11,856.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,054.36 : 13,509.54 = 7,946.28 : x
  2. Step 2: Convert to fraction form
    9,054.36/13,509.54 = 7,946.28/x
  3. Step 3: Cross multiply
    9,054.36x = 13,509.54 × 7,946.28
  4. Step 4: Simplify right side
    9,054.36x = 107,350,587.51
  5. Step 5: Solve for x
    x = 107,350,587.51/9,054.36
  6. Step 6: Final answer
    x = 11,856.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.