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Finding the Fourth Proportional to 9,258.08, 12,776 and 5,066.24

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Solution

The fourth proportional to 9,258.08, 12,776 and 5,066.24 is: 6,991.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.08 : 12,776 = 5,066.24 : x
  2. Step 2: Convert to fraction form
    9,258.08/12,776 = 5,066.24/x
  3. Step 3: Cross multiply
    9,258.08x = 12,776 × 5,066.24
  4. Step 4: Simplify right side
    9,258.08x = 64,726,282.24
  5. Step 5: Solve for x
    x = 64,726,282.24/9,258.08
  6. Step 6: Final answer
    x = 6,991.33

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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.