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Finding the Fourth Proportional to 9,653, 13,321.05 and 5,461.25

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Solution

The fourth proportional to 9,653, 13,321.05 and 5,461.25 is: 7,536.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653 : 13,321.05 = 5,461.25 : x
  2. Step 2: Convert to fraction form
    9,653/13,321.05 = 5,461.25/x
  3. Step 3: Cross multiply
    9,653x = 13,321.05 × 5,461.25
  4. Step 4: Simplify right side
    9,653x = 72,749,584.31
  5. Step 5: Solve for x
    x = 72,749,584.31/9,653
  6. Step 6: Final answer
    x = 7,536.47

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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.