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Finding the Fourth Proportional to 9,842.04, 14,763 and 2,822.16

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Solution

The fourth proportional to 9,842.04, 14,763 and 2,822.16 is: 4,233.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.04 : 14,763 = 2,822.16 : x
  2. Step 2: Convert to fraction form
    9,842.04/14,763 = 2,822.16/x
  3. Step 3: Cross multiply
    9,842.04x = 14,763 × 2,822.16
  4. Step 4: Simplify right side
    9,842.04x = 41,663,548.08
  5. Step 5: Solve for x
    x = 41,663,548.08/9,842.04
  6. Step 6: Final answer
    x = 4,233.22

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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.