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Finding the Fourth Proportional to 10,058.99, 13,880.13 and 5,582.12

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Solution

The fourth proportional to 10,058.99, 13,880.13 and 5,582.12 is: 7,702.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.99 : 13,880.13 = 5,582.12 : x
  2. Step 2: Convert to fraction form
    10,058.99/13,880.13 = 5,582.12/x
  3. Step 3: Cross multiply
    10,058.99x = 13,880.13 × 5,582.12
  4. Step 4: Simplify right side
    10,058.99x = 77,480,460.94
  5. Step 5: Solve for x
    x = 77,480,460.94/10,058.99
  6. Step 6: Final answer
    x = 7,702.61

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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.