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Finding the Fourth Proportional to 6,570.32, 9,893.98 and 4,734.15

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Solution

The fourth proportional to 6,570.32, 9,893.98 and 4,734.15 is: 7,128.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.32 : 9,893.98 = 4,734.15 : x
  2. Step 2: Convert to fraction form
    6,570.32/9,893.98 = 4,734.15/x
  3. Step 3: Cross multiply
    6,570.32x = 9,893.98 × 4,734.15
  4. Step 4: Simplify right side
    6,570.32x = 46,839,554.23
  5. Step 5: Solve for x
    x = 46,839,554.23/6,570.32
  6. Step 6: Final answer
    x = 7,128.97

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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.