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Finding the Fourth Proportional to 7,574.54, 10,444.91 and 5,978.54

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Solution

The fourth proportional to 7,574.54, 10,444.91 and 5,978.54 is: 8,244.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.54 : 10,444.91 = 5,978.54 : x
  2. Step 2: Convert to fraction form
    7,574.54/10,444.91 = 5,978.54/x
  3. Step 3: Cross multiply
    7,574.54x = 10,444.91 × 5,978.54
  4. Step 4: Simplify right side
    7,574.54x = 62,445,308.45
  5. Step 5: Solve for x
    x = 62,445,308.45/7,574.54
  6. Step 6: Final answer
    x = 8,244.11

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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.