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Finding the Fourth Proportional to 6,705.47, 9,257.62 and 5,210.57

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Solution

The fourth proportional to 6,705.47, 9,257.62 and 5,210.57 is: 7,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.47 : 9,257.62 = 5,210.57 : x
  2. Step 2: Convert to fraction form
    6,705.47/9,257.62 = 5,210.57/x
  3. Step 3: Cross multiply
    6,705.47x = 9,257.62 × 5,210.57
  4. Step 4: Simplify right side
    6,705.47x = 48,237,477.04
  5. Step 5: Solve for x
    x = 48,237,477.04/6,705.47
  6. Step 6: Final answer
    x = 7,193.75

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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.