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Finding the Fourth Proportional to 27,412.36, 37,829.02 and 14,837.10

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Solution

The fourth proportional to 27,412.36, 37,829.02 and 14,837.10 is: 20,475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,412.36 : 37,829.02 = 14,837.10 : x
  2. Step 2: Convert to fraction form
    27,412.36/37,829.02 = 14,837.10/x
  3. Step 3: Cross multiply
    27,412.36x = 37,829.02 × 14,837.10
  4. Step 4: Simplify right side
    27,412.36x = 561,272,952.64
  5. Step 5: Solve for x
    x = 561,272,952.64/27,412.36
  6. Step 6: Final answer
    x = 20,475.18

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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.