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Finding the Fourth Proportional to 6,762.42, 9,342 and 5,583.06

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Solution

The fourth proportional to 6,762.42, 9,342 and 5,583.06 is: 7,712.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.42 : 9,342 = 5,583.06 : x
  2. Step 2: Convert to fraction form
    6,762.42/9,342 = 5,583.06/x
  3. Step 3: Cross multiply
    6,762.42x = 9,342 × 5,583.06
  4. Step 4: Simplify right side
    6,762.42x = 52,156,946.52
  5. Step 5: Solve for x
    x = 52,156,946.52/6,762.42
  6. Step 6: Final answer
    x = 7,712.76

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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.