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Finding the Fourth Proportional to 13,907.74, 20,848.88 and 6,005.30

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Solution

The fourth proportional to 13,907.74, 20,848.88 and 6,005.30 is: 9,002.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.74 : 20,848.88 = 6,005.30 : x
  2. Step 2: Convert to fraction form
    13,907.74/20,848.88 = 6,005.30/x
  3. Step 3: Cross multiply
    13,907.74x = 20,848.88 × 6,005.30
  4. Step 4: Simplify right side
    13,907.74x = 125,203,779.06
  5. Step 5: Solve for x
    x = 125,203,779.06/13,907.74
  6. Step 6: Final answer
    x = 9,002.45

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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.