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Finding the Fourth Proportional to 15,770.16, 23,638.80 and 5,905.16

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Solution

The fourth proportional to 15,770.16, 23,638.80 and 5,905.16 is: 8,851.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770.16 : 23,638.80 = 5,905.16 : x
  2. Step 2: Convert to fraction form
    15,770.16/23,638.80 = 5,905.16/x
  3. Step 3: Cross multiply
    15,770.16x = 23,638.80 × 5,905.16
  4. Step 4: Simplify right side
    15,770.16x = 139,590,896.21
  5. Step 5: Solve for x
    x = 139,590,896.21/15,770.16
  6. Step 6: Final answer
    x = 8,851.58

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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.