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Finding the Fourth Proportional to 10,524.16, 15,783.15 and 8,670.68

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Solution

The fourth proportional to 10,524.16, 15,783.15 and 8,670.68 is: 13,003.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.16 : 15,783.15 = 8,670.68 : x
  2. Step 2: Convert to fraction form
    10,524.16/15,783.15 = 8,670.68/x
  3. Step 3: Cross multiply
    10,524.16x = 15,783.15 × 8,670.68
  4. Step 4: Simplify right side
    10,524.16x = 136,850,655.83
  5. Step 5: Solve for x
    x = 136,850,655.83/10,524.16
  6. Step 6: Final answer
    x = 13,003.47

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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.