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Finding the Fourth Proportional to 7,665.66, 11,482.32 and 3,509.17

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Solution

The fourth proportional to 7,665.66, 11,482.32 and 3,509.17 is: 5,256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.66 : 11,482.32 = 3,509.17 : x
  2. Step 2: Convert to fraction form
    7,665.66/11,482.32 = 3,509.17/x
  3. Step 3: Cross multiply
    7,665.66x = 11,482.32 × 3,509.17
  4. Step 4: Simplify right side
    7,665.66x = 40,293,412.87
  5. Step 5: Solve for x
    x = 40,293,412.87/7,665.66
  6. Step 6: Final answer
    x = 5,256.35

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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.