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Finding the Fourth Proportional to 10,308, 14,225.12 and 6,119.84

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Solution

The fourth proportional to 10,308, 14,225.12 and 6,119.84 is: 8,445.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308 : 14,225.12 = 6,119.84 : x
  2. Step 2: Convert to fraction form
    10,308/14,225.12 = 6,119.84/x
  3. Step 3: Cross multiply
    10,308x = 14,225.12 × 6,119.84
  4. Step 4: Simplify right side
    10,308x = 87,055,458.38
  5. Step 5: Solve for x
    x = 87,055,458.38/10,308
  6. Step 6: Final answer
    x = 8,445.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.