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Finding the Fourth Proportional to 10,058.78, 13,880.85 and 5,582.30

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Solution

The fourth proportional to 10,058.78, 13,880.85 and 5,582.30 is: 7,703.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.78 : 13,880.85 = 5,582.30 : x
  2. Step 2: Convert to fraction form
    10,058.78/13,880.85 = 5,582.30/x
  3. Step 3: Cross multiply
    10,058.78x = 13,880.85 × 5,582.30
  4. Step 4: Simplify right side
    10,058.78x = 77,487,068.96
  5. Step 5: Solve for x
    x = 77,487,068.96/10,058.78
  6. Step 6: Final answer
    x = 7,703.43

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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.