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Finding the Fourth Proportional to 9,693.64, 14,540.53 and 5,308.70

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Solution

The fourth proportional to 9,693.64, 14,540.53 and 5,308.70 is: 7,963.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.64 : 14,540.53 = 5,308.70 : x
  2. Step 2: Convert to fraction form
    9,693.64/14,540.53 = 5,308.70/x
  3. Step 3: Cross multiply
    9,693.64x = 14,540.53 × 5,308.70
  4. Step 4: Simplify right side
    9,693.64x = 77,191,391.82
  5. Step 5: Solve for x
    x = 77,191,391.82/9,693.64
  6. Step 6: Final answer
    x = 7,963.10

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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.