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Finding the Fourth Proportional to 5,509.81, 7,602.64 and 3,384.65

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Solution

The fourth proportional to 5,509.81, 7,602.64 and 3,384.65 is: 4,670.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.81 : 7,602.64 = 3,384.65 : x
  2. Step 2: Convert to fraction form
    5,509.81/7,602.64 = 3,384.65/x
  3. Step 3: Cross multiply
    5,509.81x = 7,602.64 × 3,384.65
  4. Step 4: Simplify right side
    5,509.81x = 25,732,305.06
  5. Step 5: Solve for x
    x = 25,732,305.06/5,509.81
  6. Step 6: Final answer
    x = 4,670.27

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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.