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Finding the Fourth Proportional to 4,741, 6,541.02 and 2,973.64

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Solution

The fourth proportional to 4,741, 6,541.02 and 2,973.64 is: 4,102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741 : 6,541.02 = 2,973.64 : x
  2. Step 2: Convert to fraction form
    4,741/6,541.02 = 2,973.64/x
  3. Step 3: Cross multiply
    4,741x = 6,541.02 × 2,973.64
  4. Step 4: Simplify right side
    4,741x = 19,450,638.71
  5. Step 5: Solve for x
    x = 19,450,638.71/4,741
  6. Step 6: Final answer
    x = 4,102.64

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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.