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Finding the Fourth Proportional to 6,541.77, 9,023.07 and 4,302.93

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Solution

The fourth proportional to 6,541.77, 9,023.07 and 4,302.93 is: 5,935.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.77 : 9,023.07 = 4,302.93 : x
  2. Step 2: Convert to fraction form
    6,541.77/9,023.07 = 4,302.93/x
  3. Step 3: Cross multiply
    6,541.77x = 9,023.07 × 4,302.93
  4. Step 4: Simplify right side
    6,541.77x = 38,825,688.57
  5. Step 5: Solve for x
    x = 38,825,688.57/6,541.77
  6. Step 6: Final answer
    x = 5,935.04

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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.