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Finding the Fourth Proportional to 10,553, 14,562.02 and 5,837.16

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Solution

The fourth proportional to 10,553, 14,562.02 and 5,837.16 is: 8,054.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553 : 14,562.02 = 5,837.16 : x
  2. Step 2: Convert to fraction form
    10,553/14,562.02 = 5,837.16/x
  3. Step 3: Cross multiply
    10,553x = 14,562.02 × 5,837.16
  4. Step 4: Simplify right side
    10,553x = 85,000,840.66
  5. Step 5: Solve for x
    x = 85,000,840.66/10,553
  6. Step 6: Final answer
    x = 8,054.66

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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.