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Finding the Fourth Proportional to 7,057.61, 9,715.06 and 6,100.08

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Solution

The fourth proportional to 7,057.61, 9,715.06 and 6,100.08 is: 8,396.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.61 : 9,715.06 = 6,100.08 : x
  2. Step 2: Convert to fraction form
    7,057.61/9,715.06 = 6,100.08/x
  3. Step 3: Cross multiply
    7,057.61x = 9,715.06 × 6,100.08
  4. Step 4: Simplify right side
    7,057.61x = 59,262,612.70
  5. Step 5: Solve for x
    x = 59,262,612.70/7,057.61
  6. Step 6: Final answer
    x = 8,396.98

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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.