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Finding the Fourth Proportional to 7,006.66, 10,509.72 and 1,741.68

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Solution

The fourth proportional to 7,006.66, 10,509.72 and 1,741.68 is: 2,612.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.66 : 10,509.72 = 1,741.68 : x
  2. Step 2: Convert to fraction form
    7,006.66/10,509.72 = 1,741.68/x
  3. Step 3: Cross multiply
    7,006.66x = 10,509.72 × 1,741.68
  4. Step 4: Simplify right side
    7,006.66x = 18,304,569.13
  5. Step 5: Solve for x
    x = 18,304,569.13/7,006.66
  6. Step 6: Final answer
    x = 2,612.45

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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.