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Finding the Fourth Proportional to 30,641.24, 45,962.94 and 9,583.16

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Solution

The fourth proportional to 30,641.24, 45,962.94 and 9,583.16 is: 14,375.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,641.24 : 45,962.94 = 9,583.16 : x
  2. Step 2: Convert to fraction form
    30,641.24/45,962.94 = 9,583.16/x
  3. Step 3: Cross multiply
    30,641.24x = 45,962.94 × 9,583.16
  4. Step 4: Simplify right side
    30,641.24x = 440,470,208.09
  5. Step 5: Solve for x
    x = 440,470,208.09/30,641.24
  6. Step 6: Final answer
    x = 14,375.08

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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.