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Finding the Fourth Proportional to 7,602.46, 10,485.62 and 6,542.00

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Solution

The fourth proportional to 7,602.46, 10,485.62 and 6,542.00 is: 9,022.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.46 : 10,485.62 = 6,542.00 : x
  2. Step 2: Convert to fraction form
    7,602.46/10,485.62 = 6,542.00/x
  3. Step 3: Cross multiply
    7,602.46x = 10,485.62 × 6,542.00
  4. Step 4: Simplify right side
    7,602.46x = 68,596,904.76
  5. Step 5: Solve for x
    x = 68,596,904.76/7,602.46
  6. Step 6: Final answer
    x = 9,022.99

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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.