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Finding the Fourth Proportional to 10,298.64, 14,212.32 and 5,822.48

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Solution

The fourth proportional to 10,298.64, 14,212.32 and 5,822.48 is: 8,035.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.64 : 14,212.32 = 5,822.48 : x
  2. Step 2: Convert to fraction form
    10,298.64/14,212.32 = 5,822.48/x
  3. Step 3: Cross multiply
    10,298.64x = 14,212.32 × 5,822.48
  4. Step 4: Simplify right side
    10,298.64x = 82,750,948.95
  5. Step 5: Solve for x
    x = 82,750,948.95/10,298.64
  6. Step 6: Final answer
    x = 8,035.13

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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.