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Finding the Fourth Proportional to 9,763.58, 14,653.56 and 4,221.16

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Solution

The fourth proportional to 9,763.58, 14,653.56 and 4,221.16 is: 6,335.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.58 : 14,653.56 = 4,221.16 : x
  2. Step 2: Convert to fraction form
    9,763.58/14,653.56 = 4,221.16/x
  3. Step 3: Cross multiply
    9,763.58x = 14,653.56 × 4,221.16
  4. Step 4: Simplify right side
    9,763.58x = 61,855,021.33
  5. Step 5: Solve for x
    x = 61,855,021.33/9,763.58
  6. Step 6: Final answer
    x = 6,335.28

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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.