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Finding the Fourth Proportional to 27,075.71, 40,609.45 and 9,309.06

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Solution

The fourth proportional to 27,075.71, 40,609.45 and 9,309.06 is: 13,962.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,075.71 : 40,609.45 = 9,309.06 : x
  2. Step 2: Convert to fraction form
    27,075.71/40,609.45 = 9,309.06/x
  3. Step 3: Cross multiply
    27,075.71x = 40,609.45 × 9,309.06
  4. Step 4: Simplify right side
    27,075.71x = 378,035,783.34
  5. Step 5: Solve for x
    x = 378,035,783.34/27,075.71
  6. Step 6: Final answer
    x = 13,962.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.