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Finding the Fourth Proportional to 9,842.51, 14,762.39 and 2,823.12

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Solution

The fourth proportional to 9,842.51, 14,762.39 and 2,823.12 is: 4,234.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.51 : 14,762.39 = 2,823.12 : x
  2. Step 2: Convert to fraction form
    9,842.51/14,762.39 = 2,823.12/x
  3. Step 3: Cross multiply
    9,842.51x = 14,762.39 × 2,823.12
  4. Step 4: Simplify right side
    9,842.51x = 41,675,984.34
  5. Step 5: Solve for x
    x = 41,675,984.34/9,842.51
  6. Step 6: Final answer
    x = 4,234.29

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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.