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Finding the Fourth Proportional to 7,762.49, 10,716.59 and 5,942.08

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Solution

The fourth proportional to 7,762.49, 10,716.59 and 5,942.08 is: 8,203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.49 : 10,716.59 = 5,942.08 : x
  2. Step 2: Convert to fraction form
    7,762.49/10,716.59 = 5,942.08/x
  3. Step 3: Cross multiply
    7,762.49x = 10,716.59 × 5,942.08
  4. Step 4: Simplify right side
    7,762.49x = 63,678,823.17
  5. Step 5: Solve for x
    x = 63,678,823.17/7,762.49
  6. Step 6: Final answer
    x = 8,203.41

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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.