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Finding the Fourth Proportional to 10,429, 14,389.78 and 6,181.39

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Solution

The fourth proportional to 10,429, 14,389.78 and 6,181.39 is: 8,528.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429 : 14,389.78 = 6,181.39 : x
  2. Step 2: Convert to fraction form
    10,429/14,389.78 = 6,181.39/x
  3. Step 3: Cross multiply
    10,429x = 14,389.78 × 6,181.39
  4. Step 4: Simplify right side
    10,429x = 88,948,842.19
  5. Step 5: Solve for x
    x = 88,948,842.19/10,429
  6. Step 6: Final answer
    x = 8,528.99

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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.