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Finding the Fourth Proportional to 9,574.77, 14,362.16 and 4,377

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Solution

The fourth proportional to 9,574.77, 14,362.16 and 4,377 is: 6,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.77 : 14,362.16 = 4,377 : x
  2. Step 2: Convert to fraction form
    9,574.77/14,362.16 = 4,377/x
  3. Step 3: Cross multiply
    9,574.77x = 14,362.16 × 4,377
  4. Step 4: Simplify right side
    9,574.77x = 62,863,174.32
  5. Step 5: Solve for x
    x = 62,863,174.32/9,574.77
  6. Step 6: Final answer
    x = 6,565.50

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Similar ratio
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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.