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Finding the Fourth Proportional to 11,292.54, 15,583.54 and 6,256.75

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Solution

The fourth proportional to 11,292.54, 15,583.54 and 6,256.75 is: 8,634.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,292.54 : 15,583.54 = 6,256.75 : x
  2. Step 2: Convert to fraction form
    11,292.54/15,583.54 = 6,256.75/x
  3. Step 3: Cross multiply
    11,292.54x = 15,583.54 × 6,256.75
  4. Step 4: Simplify right side
    11,292.54x = 97,502,313.90
  5. Step 5: Solve for x
    x = 97,502,313.90/11,292.54
  6. Step 6: Final answer
    x = 8,634.22

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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.