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Finding the Fourth Proportional to 10,038.64, 13,848.78 and 6,058.48

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Solution

The fourth proportional to 10,038.64, 13,848.78 and 6,058.48 is: 8,357.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.64 : 13,848.78 = 6,058.48 : x
  2. Step 2: Convert to fraction form
    10,038.64/13,848.78 = 6,058.48/x
  3. Step 3: Cross multiply
    10,038.64x = 13,848.78 × 6,058.48
  4. Step 4: Simplify right side
    10,038.64x = 83,902,556.65
  5. Step 5: Solve for x
    x = 83,902,556.65/10,038.64
  6. Step 6: Final answer
    x = 8,357.96

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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.