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Finding the Fourth Proportional to 6,707.40, 9,223.36 and 5,821.64

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Solution

The fourth proportional to 6,707.40, 9,223.36 and 5,821.64 is: 8,005.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.40 : 9,223.36 = 5,821.64 : x
  2. Step 2: Convert to fraction form
    6,707.40/9,223.36 = 5,821.64/x
  3. Step 3: Cross multiply
    6,707.40x = 9,223.36 × 5,821.64
  4. Step 4: Simplify right side
    6,707.40x = 53,695,081.51
  5. Step 5: Solve for x
    x = 53,695,081.51/6,707.40
  6. Step 6: Final answer
    x = 8,005.35

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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.