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Finding the Fourth Proportional to 6,294.26, 9,478.86 and 5,482.34

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Solution

The fourth proportional to 6,294.26, 9,478.86 and 5,482.34 is: 8,256.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.26 : 9,478.86 = 5,482.34 : x
  2. Step 2: Convert to fraction form
    6,294.26/9,478.86 = 5,482.34/x
  3. Step 3: Cross multiply
    6,294.26x = 9,478.86 × 5,482.34
  4. Step 4: Simplify right side
    6,294.26x = 51,966,357.03
  5. Step 5: Solve for x
    x = 51,966,357.03/6,294.26
  6. Step 6: Final answer
    x = 8,256.15

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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.