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Finding the Fourth Proportional to 7,058.84, 10,585.74 and 5,078.49

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Solution

The fourth proportional to 7,058.84, 10,585.74 and 5,078.49 is: 7,615.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.84 : 10,585.74 = 5,078.49 : x
  2. Step 2: Convert to fraction form
    7,058.84/10,585.74 = 5,078.49/x
  3. Step 3: Cross multiply
    7,058.84x = 10,585.74 × 5,078.49
  4. Step 4: Simplify right side
    7,058.84x = 53,759,574.73
  5. Step 5: Solve for x
    x = 53,759,574.73/7,058.84
  6. Step 6: Final answer
    x = 7,615.93

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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.