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Finding the Fourth Proportional to 6,894.35, 9,510.20 and 5,003.74

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Solution

The fourth proportional to 6,894.35, 9,510.20 and 5,003.74 is: 6,902.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.35 : 9,510.20 = 5,003.74 : x
  2. Step 2: Convert to fraction form
    6,894.35/9,510.20 = 5,003.74/x
  3. Step 3: Cross multiply
    6,894.35x = 9,510.20 × 5,003.74
  4. Step 4: Simplify right side
    6,894.35x = 47,586,543.13
  5. Step 5: Solve for x
    x = 47,586,543.13/6,894.35
  6. Step 6: Final answer
    x = 6,902.25

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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.