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Finding the Fourth Proportional to 6,670.53, 9,206.87 and 4,154.58

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Solution

The fourth proportional to 6,670.53, 9,206.87 and 4,154.58 is: 5,734.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.53 : 9,206.87 = 4,154.58 : x
  2. Step 2: Convert to fraction form
    6,670.53/9,206.87 = 4,154.58/x
  3. Step 3: Cross multiply
    6,670.53x = 9,206.87 × 4,154.58
  4. Step 4: Simplify right side
    6,670.53x = 38,250,657.19
  5. Step 5: Solve for x
    x = 38,250,657.19/6,670.53
  6. Step 6: Final answer
    x = 5,734.28

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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.