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Finding the Fourth Proportional to 10,662.44, 14,712.48 and 6,412.48

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Solution

The fourth proportional to 10,662.44, 14,712.48 and 6,412.48 is: 8,848.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.44 : 14,712.48 = 6,412.48 : x
  2. Step 2: Convert to fraction form
    10,662.44/14,712.48 = 6,412.48/x
  3. Step 3: Cross multiply
    10,662.44x = 14,712.48 × 6,412.48
  4. Step 4: Simplify right side
    10,662.44x = 94,343,483.75
  5. Step 5: Solve for x
    x = 94,343,483.75/10,662.44
  6. Step 6: Final answer
    x = 8,848.21

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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.