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Finding the Fourth Proportional to 15,577.80, 23,374.80 and 6,813.60

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Solution

The fourth proportional to 15,577.80, 23,374.80 and 6,813.60 is: 10,223.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,577.80 : 23,374.80 = 6,813.60 : x
  2. Step 2: Convert to fraction form
    15,577.80/23,374.80 = 6,813.60/x
  3. Step 3: Cross multiply
    15,577.80x = 23,374.80 × 6,813.60
  4. Step 4: Simplify right side
    15,577.80x = 159,266,537.28
  5. Step 5: Solve for x
    x = 159,266,537.28/15,577.80
  6. Step 6: Final answer
    x = 10,223.94

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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.