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Finding the Fourth Proportional to 6,406.41, 9,643.59 and 4,570.23

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Solution

The fourth proportional to 6,406.41, 9,643.59 and 4,570.23 is: 6,879.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.41 : 9,643.59 = 4,570.23 : x
  2. Step 2: Convert to fraction form
    6,406.41/9,643.59 = 4,570.23/x
  3. Step 3: Cross multiply
    6,406.41x = 9,643.59 × 4,570.23
  4. Step 4: Simplify right side
    6,406.41x = 44,073,424.33
  5. Step 5: Solve for x
    x = 44,073,424.33/6,406.41
  6. Step 6: Final answer
    x = 6,879.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.