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Finding the Fourth Proportional to 6,411.36, 9,557.16 and 6,342.24

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Solution

The fourth proportional to 6,411.36, 9,557.16 and 6,342.24 is: 9,454.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.36 : 9,557.16 = 6,342.24 : x
  2. Step 2: Convert to fraction form
    6,411.36/9,557.16 = 6,342.24/x
  3. Step 3: Cross multiply
    6,411.36x = 9,557.16 × 6,342.24
  4. Step 4: Simplify right side
    6,411.36x = 60,613,802.44
  5. Step 5: Solve for x
    x = 60,613,802.44/6,411.36
  6. Step 6: Final answer
    x = 9,454.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.