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Finding the Fourth Proportional to 9,157.36, 12,637.16 and 4,965.64

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Solution

The fourth proportional to 9,157.36, 12,637.16 and 4,965.64 is: 6,852.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.36 : 12,637.16 = 4,965.64 : x
  2. Step 2: Convert to fraction form
    9,157.36/12,637.16 = 4,965.64/x
  3. Step 3: Cross multiply
    9,157.36x = 12,637.16 × 4,965.64
  4. Step 4: Simplify right side
    9,157.36x = 62,751,587.18
  5. Step 5: Solve for x
    x = 62,751,587.18/9,157.36
  6. Step 6: Final answer
    x = 6,852.58

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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.