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Finding the Fourth Proportional to 6,837.30, 9,578.70 and 6,837.30

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Solution

The fourth proportional to 6,837.30, 9,578.70 and 6,837.30 is: 9,578.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.30 : 9,578.70 = 6,837.30 : x
  2. Step 2: Convert to fraction form
    6,837.30/9,578.70 = 6,837.30/x
  3. Step 3: Cross multiply
    6,837.30x = 9,578.70 × 6,837.30
  4. Step 4: Simplify right side
    6,837.30x = 65,492,445.51
  5. Step 5: Solve for x
    x = 65,492,445.51/6,837.30
  6. Step 6: Final answer
    x = 9,578.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.