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Finding the Fourth Proportional to 4,347.63, 6,509.03 and 4,071.76

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Solution

The fourth proportional to 4,347.63, 6,509.03 and 4,071.76 is: 6,096.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.63 : 6,509.03 = 4,071.76 : x
  2. Step 2: Convert to fraction form
    4,347.63/6,509.03 = 4,071.76/x
  3. Step 3: Cross multiply
    4,347.63x = 6,509.03 × 4,071.76
  4. Step 4: Simplify right side
    4,347.63x = 26,503,171.36
  5. Step 5: Solve for x
    x = 26,503,171.36/4,347.63
  6. Step 6: Final answer
    x = 6,096.00

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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.