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Finding the Fourth Proportional to 7,308.84, 10,963.16 and 1,762.14

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Solution

The fourth proportional to 7,308.84, 10,963.16 and 1,762.14 is: 2,643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,308.84 : 10,963.16 = 1,762.14 : x
  2. Step 2: Convert to fraction form
    7,308.84/10,963.16 = 1,762.14/x
  3. Step 3: Cross multiply
    7,308.84x = 10,963.16 × 1,762.14
  4. Step 4: Simplify right side
    7,308.84x = 19,318,619.62
  5. Step 5: Solve for x
    x = 19,318,619.62/7,308.84
  6. Step 6: Final answer
    x = 2,643.19

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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.