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Finding the Fourth Proportional to 7,782.58, 10,739.97 and 4,246.06

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Solution

The fourth proportional to 7,782.58, 10,739.97 and 4,246.06 is: 5,859.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.58 : 10,739.97 = 4,246.06 : x
  2. Step 2: Convert to fraction form
    7,782.58/10,739.97 = 4,246.06/x
  3. Step 3: Cross multiply
    7,782.58x = 10,739.97 × 4,246.06
  4. Step 4: Simplify right side
    7,782.58x = 45,602,557.02
  5. Step 5: Solve for x
    x = 45,602,557.02/7,782.58
  6. Step 6: Final answer
    x = 5,859.57

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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.