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Finding the Fourth Proportional to 6,590.07, 9,892.71 and 5,208.03

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Solution

The fourth proportional to 6,590.07, 9,892.71 and 5,208.03 is: 7,818.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.07 : 9,892.71 = 5,208.03 : x
  2. Step 2: Convert to fraction form
    6,590.07/9,892.71 = 5,208.03/x
  3. Step 3: Cross multiply
    6,590.07x = 9,892.71 × 5,208.03
  4. Step 4: Simplify right side
    6,590.07x = 51,521,530.46
  5. Step 5: Solve for x
    x = 51,521,530.46/6,590.07
  6. Step 6: Final answer
    x = 7,818.06

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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.