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Finding the Fourth Proportional to 9,574.60, 14,345.70 and 4,633.60

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Solution

The fourth proportional to 9,574.60, 14,345.70 and 4,633.60 is: 6,942.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.60 : 14,345.70 = 4,633.60 : x
  2. Step 2: Convert to fraction form
    9,574.60/14,345.70 = 4,633.60/x
  3. Step 3: Cross multiply
    9,574.60x = 14,345.70 × 4,633.60
  4. Step 4: Simplify right side
    9,574.60x = 66,472,235.52
  5. Step 5: Solve for x
    x = 66,472,235.52/9,574.60
  6. Step 6: Final answer
    x = 6,942.56

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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.