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Finding the Fourth Proportional to 10,441.90, 14,638.10 and 10,441.90

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Solution

The fourth proportional to 10,441.90, 14,638.10 and 10,441.90 is: 14,638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.90 : 14,638.10 = 10,441.90 : x
  2. Step 2: Convert to fraction form
    10,441.90/14,638.10 = 10,441.90/x
  3. Step 3: Cross multiply
    10,441.90x = 14,638.10 × 10,441.90
  4. Step 4: Simplify right side
    10,441.90x = 152,849,576.39
  5. Step 5: Solve for x
    x = 152,849,576.39/10,441.90
  6. Step 6: Final answer
    x = 14,638.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.