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Finding the Fourth Proportional to 6,851.23, 9,461.23 and 6,478.06

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Solution

The fourth proportional to 6,851.23, 9,461.23 and 6,478.06 is: 8,945.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.23 : 9,461.23 = 6,478.06 : x
  2. Step 2: Convert to fraction form
    6,851.23/9,461.23 = 6,478.06/x
  3. Step 3: Cross multiply
    6,851.23x = 9,461.23 × 6,478.06
  4. Step 4: Simplify right side
    6,851.23x = 61,290,423.07
  5. Step 5: Solve for x
    x = 61,290,423.07/6,851.23
  6. Step 6: Final answer
    x = 8,945.90

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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.