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Finding the Fourth Proportional to 9,670.30, 14,505.45 and 5,782.30

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Solution

The fourth proportional to 9,670.30, 14,505.45 and 5,782.30 is: 8,673.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.30 : 14,505.45 = 5,782.30 : x
  2. Step 2: Convert to fraction form
    9,670.30/14,505.45 = 5,782.30/x
  3. Step 3: Cross multiply
    9,670.30x = 14,505.45 × 5,782.30
  4. Step 4: Simplify right side
    9,670.30x = 83,874,863.54
  5. Step 5: Solve for x
    x = 83,874,863.54/9,670.30
  6. Step 6: Final answer
    x = 8,673.45

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Similar ratio
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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.