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Finding the Fourth Proportional to 6,411.24, 8,848.68 and 4,054.68

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Solution

The fourth proportional to 6,411.24, 8,848.68 and 4,054.68 is: 5,596.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.24 : 8,848.68 = 4,054.68 : x
  2. Step 2: Convert to fraction form
    6,411.24/8,848.68 = 4,054.68/x
  3. Step 3: Cross multiply
    6,411.24x = 8,848.68 × 4,054.68
  4. Step 4: Simplify right side
    6,411.24x = 35,878,565.82
  5. Step 5: Solve for x
    x = 35,878,565.82/6,411.24
  6. Step 6: Final answer
    x = 5,596.20

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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.