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Finding the Fourth Proportional to 15,258.51, 22,887.77 and 7,461.86

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Solution

The fourth proportional to 15,258.51, 22,887.77 and 7,461.86 is: 11,192.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,258.51 : 22,887.77 = 7,461.86 : x
  2. Step 2: Convert to fraction form
    15,258.51/22,887.77 = 7,461.86/x
  3. Step 3: Cross multiply
    15,258.51x = 22,887.77 × 7,461.86
  4. Step 4: Simplify right side
    15,258.51x = 170,785,335.45
  5. Step 5: Solve for x
    x = 170,785,335.45/15,258.51
  6. Step 6: Final answer
    x = 11,192.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.