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Finding the Fourth Proportional to 9,632.64, 14,460.48 and 5,738.88

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Solution

The fourth proportional to 9,632.64, 14,460.48 and 5,738.88 is: 8,615.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.64 : 14,460.48 = 5,738.88 : x
  2. Step 2: Convert to fraction form
    9,632.64/14,460.48 = 5,738.88/x
  3. Step 3: Cross multiply
    9,632.64x = 14,460.48 × 5,738.88
  4. Step 4: Simplify right side
    9,632.64x = 82,986,959.46
  5. Step 5: Solve for x
    x = 82,986,959.46/9,632.64
  6. Step 6: Final answer
    x = 8,615.18

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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.