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Finding the Fourth Proportional to 9,653.12, 14,461.56 and 7,703.12

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Solution

The fourth proportional to 9,653.12, 14,461.56 and 7,703.12 is: 11,540.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.12 : 14,461.56 = 7,703.12 : x
  2. Step 2: Convert to fraction form
    9,653.12/14,461.56 = 7,703.12/x
  3. Step 3: Cross multiply
    9,653.12x = 14,461.56 × 7,703.12
  4. Step 4: Simplify right side
    9,653.12x = 111,399,132.07
  5. Step 5: Solve for x
    x = 111,399,132.07/9,653.12
  6. Step 6: Final answer
    x = 11,540.22

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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.