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Finding the Fourth Proportional to 23,365, 35,047.52 and 7,783.84

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Solution

The fourth proportional to 23,365, 35,047.52 and 7,783.84 is: 11,675.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,365 : 35,047.52 = 7,783.84 : x
  2. Step 2: Convert to fraction form
    23,365/35,047.52 = 7,783.84/x
  3. Step 3: Cross multiply
    23,365x = 35,047.52 × 7,783.84
  4. Step 4: Simplify right side
    23,365x = 272,804,288.08
  5. Step 5: Solve for x
    x = 272,804,288.08/23,365
  6. Step 6: Final answer
    x = 11,675.77

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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.