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Finding the Fourth Proportional to 9,777.49, 14,663.14 and 3,202.16

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Solution

The fourth proportional to 9,777.49, 14,663.14 and 3,202.16 is: 4,802.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.49 : 14,663.14 = 3,202.16 : x
  2. Step 2: Convert to fraction form
    9,777.49/14,663.14 = 3,202.16/x
  3. Step 3: Cross multiply
    9,777.49x = 14,663.14 × 3,202.16
  4. Step 4: Simplify right side
    9,777.49x = 46,953,720.38
  5. Step 5: Solve for x
    x = 46,953,720.38/9,777.49
  6. Step 6: Final answer
    x = 4,802.23

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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.