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Finding the Fourth Proportional to 30,802.26, 46,209.08 and 9,747.60

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Solution

The fourth proportional to 30,802.26, 46,209.08 and 9,747.60 is: 14,623.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802.26 : 46,209.08 = 9,747.60 : x
  2. Step 2: Convert to fraction form
    30,802.26/46,209.08 = 9,747.60/x
  3. Step 3: Cross multiply
    30,802.26x = 46,209.08 × 9,747.60
  4. Step 4: Simplify right side
    30,802.26x = 450,427,424.46
  5. Step 5: Solve for x
    x = 450,427,424.46/30,802.26
  6. Step 6: Final answer
    x = 14,623.19

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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.