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Finding the Fourth Proportional to 27,802.53, 41,686.65 and 10,267.65

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Solution

The fourth proportional to 27,802.53, 41,686.65 and 10,267.65 is: 15,395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.53 : 41,686.65 = 10,267.65 : x
  2. Step 2: Convert to fraction form
    27,802.53/41,686.65 = 10,267.65/x
  3. Step 3: Cross multiply
    27,802.53x = 41,686.65 × 10,267.65
  4. Step 4: Simplify right side
    27,802.53x = 428,023,931.87
  5. Step 5: Solve for x
    x = 428,023,931.87/27,802.53
  6. Step 6: Final answer
    x = 15,395.14

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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.