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Finding the Fourth Proportional to 6,841.77, 10,271.16 and 6,810.18

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Solution

The fourth proportional to 6,841.77, 10,271.16 and 6,810.18 is: 10,223.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.77 : 10,271.16 = 6,810.18 : x
  2. Step 2: Convert to fraction form
    6,841.77/10,271.16 = 6,810.18/x
  3. Step 3: Cross multiply
    6,841.77x = 10,271.16 × 6,810.18
  4. Step 4: Simplify right side
    6,841.77x = 69,948,448.41
  5. Step 5: Solve for x
    x = 69,948,448.41/6,841.77
  6. Step 6: Final answer
    x = 10,223.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.