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Finding the Fourth Proportional to 8,442.55, 11,643.14 and 7,030.90

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Solution

The fourth proportional to 8,442.55, 11,643.14 and 7,030.90 is: 9,696.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.55 : 11,643.14 = 7,030.90 : x
  2. Step 2: Convert to fraction form
    8,442.55/11,643.14 = 7,030.90/x
  3. Step 3: Cross multiply
    8,442.55x = 11,643.14 × 7,030.90
  4. Step 4: Simplify right side
    8,442.55x = 81,861,753.03
  5. Step 5: Solve for x
    x = 81,861,753.03/8,442.55
  6. Step 6: Final answer
    x = 9,696.33

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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.