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Finding the Fourth Proportional to 10,444.08, 14,413 and 5,728.28

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Solution

The fourth proportional to 10,444.08, 14,413 and 5,728.28 is: 7,905.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.08 : 14,413 = 5,728.28 : x
  2. Step 2: Convert to fraction form
    10,444.08/14,413 = 5,728.28/x
  3. Step 3: Cross multiply
    10,444.08x = 14,413 × 5,728.28
  4. Step 4: Simplify right side
    10,444.08x = 82,561,699.64
  5. Step 5: Solve for x
    x = 82,561,699.64/10,444.08
  6. Step 6: Final answer
    x = 7,905.12

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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.