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Finding the Fourth Proportional to 7,558.95, 10,429.74 and 4,574.19

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Solution

The fourth proportional to 7,558.95, 10,429.74 and 4,574.19 is: 6,311.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,558.95 : 10,429.74 = 4,574.19 : x
  2. Step 2: Convert to fraction form
    7,558.95/10,429.74 = 4,574.19/x
  3. Step 3: Cross multiply
    7,558.95x = 10,429.74 × 4,574.19
  4. Step 4: Simplify right side
    7,558.95x = 47,707,612.41
  5. Step 5: Solve for x
    x = 47,707,612.41/7,558.95
  6. Step 6: Final answer
    x = 6,311.41

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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.