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Finding the Fourth Proportional to 7,782.69, 10,739.75 and 4,798.81

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Solution

The fourth proportional to 7,782.69, 10,739.75 and 4,798.81 is: 6,622.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.69 : 10,739.75 = 4,798.81 : x
  2. Step 2: Convert to fraction form
    7,782.69/10,739.75 = 4,798.81/x
  3. Step 3: Cross multiply
    7,782.69x = 10,739.75 × 4,798.81
  4. Step 4: Simplify right side
    7,782.69x = 51,538,019.70
  5. Step 5: Solve for x
    x = 51,538,019.70/7,782.69
  6. Step 6: Final answer
    x = 6,622.13

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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.