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Finding the Fourth Proportional to 10,401.40, 15,602.10 and 4,164.40

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Solution

The fourth proportional to 10,401.40, 15,602.10 and 4,164.40 is: 6,246.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.40 : 15,602.10 = 4,164.40 : x
  2. Step 2: Convert to fraction form
    10,401.40/15,602.10 = 4,164.40/x
  3. Step 3: Cross multiply
    10,401.40x = 15,602.10 × 4,164.40
  4. Step 4: Simplify right side
    10,401.40x = 64,973,385.24
  5. Step 5: Solve for x
    x = 64,973,385.24/10,401.40
  6. Step 6: Final answer
    x = 6,246.60

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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.