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Finding the Fourth Proportional to 4,768.32, 6,565.86 and 4,323.42

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Solution

The fourth proportional to 4,768.32, 6,565.86 and 4,323.42 is: 5,953.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.32 : 6,565.86 = 4,323.42 : x
  2. Step 2: Convert to fraction form
    4,768.32/6,565.86 = 4,323.42/x
  3. Step 3: Cross multiply
    4,768.32x = 6,565.86 × 4,323.42
  4. Step 4: Simplify right side
    4,768.32x = 28,386,970.44
  5. Step 5: Solve for x
    x = 28,386,970.44/4,768.32
  6. Step 6: Final answer
    x = 5,953.24

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Double scale
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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.