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Finding the Fourth Proportional to 9,411.04, 14,101.84 and 3,564.48

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Solution

The fourth proportional to 9,411.04, 14,101.84 and 3,564.48 is: 5,341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.04 : 14,101.84 = 3,564.48 : x
  2. Step 2: Convert to fraction form
    9,411.04/14,101.84 = 3,564.48/x
  3. Step 3: Cross multiply
    9,411.04x = 14,101.84 × 3,564.48
  4. Step 4: Simplify right side
    9,411.04x = 50,265,726.64
  5. Step 5: Solve for x
    x = 50,265,726.64/9,411.04
  6. Step 6: Final answer
    x = 5,341.14

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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.