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Finding the Fourth Proportional to 9,775.04, 13,491.36 and 5,583.04

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Solution

The fourth proportional to 9,775.04, 13,491.36 and 5,583.04 is: 7,705.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.04 : 13,491.36 = 5,583.04 : x
  2. Step 2: Convert to fraction form
    9,775.04/13,491.36 = 5,583.04/x
  3. Step 3: Cross multiply
    9,775.04x = 13,491.36 × 5,583.04
  4. Step 4: Simplify right side
    9,775.04x = 75,322,802.53
  5. Step 5: Solve for x
    x = 75,322,802.53/9,775.04
  6. Step 6: Final answer
    x = 7,705.63

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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.