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Finding the Fourth Proportional to 8,047.60, 12,071.40 and 4,548.40

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Solution

The fourth proportional to 8,047.60, 12,071.40 and 4,548.40 is: 6,822.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.60 : 12,071.40 = 4,548.40 : x
  2. Step 2: Convert to fraction form
    8,047.60/12,071.40 = 4,548.40/x
  3. Step 3: Cross multiply
    8,047.60x = 12,071.40 × 4,548.40
  4. Step 4: Simplify right side
    8,047.60x = 54,905,555.76
  5. Step 5: Solve for x
    x = 54,905,555.76/8,047.60
  6. Step 6: Final answer
    x = 6,822.60

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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.