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Finding the Fourth Proportional to 7,842.59, 10,823.63 and 4,485.71

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Solution

The fourth proportional to 7,842.59, 10,823.63 and 4,485.71 is: 6,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.59 : 10,823.63 = 4,485.71 : x
  2. Step 2: Convert to fraction form
    7,842.59/10,823.63 = 4,485.71/x
  3. Step 3: Cross multiply
    7,842.59x = 10,823.63 × 4,485.71
  4. Step 4: Simplify right side
    7,842.59x = 48,551,588.78
  5. Step 5: Solve for x
    x = 48,551,588.78/7,842.59
  6. Step 6: Final answer
    x = 6,190.76

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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.