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Finding the Fourth Proportional to 6,962.90, 9,673.16 and 6,898.10

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Solution

The fourth proportional to 6,962.90, 9,673.16 and 6,898.10 is: 9,583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.90 : 9,673.16 = 6,898.10 : x
  2. Step 2: Convert to fraction form
    6,962.90/9,673.16 = 6,898.10/x
  3. Step 3: Cross multiply
    6,962.90x = 9,673.16 × 6,898.10
  4. Step 4: Simplify right side
    6,962.90x = 66,726,342.14
  5. Step 5: Solve for x
    x = 66,726,342.14/6,962.90
  6. Step 6: Final answer
    x = 9,583.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.