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Finding the Fourth Proportional to 9,258.68, 12,782.94 and 8,262.25

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Solution

The fourth proportional to 9,258.68, 12,782.94 and 8,262.25 is: 11,407.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.68 : 12,782.94 = 8,262.25 : x
  2. Step 2: Convert to fraction form
    9,258.68/12,782.94 = 8,262.25/x
  3. Step 3: Cross multiply
    9,258.68x = 12,782.94 × 8,262.25
  4. Step 4: Simplify right side
    9,258.68x = 105,615,782.10
  5. Step 5: Solve for x
    x = 105,615,782.10/9,258.68
  6. Step 6: Final answer
    x = 11,407.22

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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.