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Finding the Fourth Proportional to 10,482.58, 14,462.86 and 6,231.48

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Solution

The fourth proportional to 10,482.58, 14,462.86 and 6,231.48 is: 8,597.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.58 : 14,462.86 = 6,231.48 : x
  2. Step 2: Convert to fraction form
    10,482.58/14,462.86 = 6,231.48/x
  3. Step 3: Cross multiply
    10,482.58x = 14,462.86 × 6,231.48
  4. Step 4: Simplify right side
    10,482.58x = 90,125,022.83
  5. Step 5: Solve for x
    x = 90,125,022.83/10,482.58
  6. Step 6: Final answer
    x = 8,597.60

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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.