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Finding the Fourth Proportional to 9,756.02, 13,463 and 5,777.17

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Solution

The fourth proportional to 9,756.02, 13,463 and 5,777.17 is: 7,972.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.02 : 13,463 = 5,777.17 : x
  2. Step 2: Convert to fraction form
    9,756.02/13,463 = 5,777.17/x
  3. Step 3: Cross multiply
    9,756.02x = 13,463 × 5,777.17
  4. Step 4: Simplify right side
    9,756.02x = 77,778,039.71
  5. Step 5: Solve for x
    x = 77,778,039.71/9,756.02
  6. Step 6: Final answer
    x = 7,972.31

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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.