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Finding the Fourth Proportional to 7,574.99, 10,454.74 and 4,387.74

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Solution

The fourth proportional to 7,574.99, 10,454.74 and 4,387.74 is: 6,055.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.99 : 10,454.74 = 4,387.74 : x
  2. Step 2: Convert to fraction form
    7,574.99/10,454.74 = 4,387.74/x
  3. Step 3: Cross multiply
    7,574.99x = 10,454.74 × 4,387.74
  4. Step 4: Simplify right side
    7,574.99x = 45,872,630.71
  5. Step 5: Solve for x
    x = 45,872,630.71/7,574.99
  6. Step 6: Final answer
    x = 6,055.80

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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.