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Finding the Fourth Proportional to 10,798.53, 14,902.28 and 6,322.47

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Solution

The fourth proportional to 10,798.53, 14,902.28 and 6,322.47 is: 8,725.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.53 : 14,902.28 = 6,322.47 : x
  2. Step 2: Convert to fraction form
    10,798.53/14,902.28 = 6,322.47/x
  3. Step 3: Cross multiply
    10,798.53x = 14,902.28 × 6,322.47
  4. Step 4: Simplify right side
    10,798.53x = 94,219,238.27
  5. Step 5: Solve for x
    x = 94,219,238.27/10,798.53
  6. Step 6: Final answer
    x = 8,725.19

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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.