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Finding the Fourth Proportional to 7,683.92, 10,602.12 and 4,538.48

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Solution

The fourth proportional to 7,683.92, 10,602.12 and 4,538.48 is: 6,262.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.92 : 10,602.12 = 4,538.48 : x
  2. Step 2: Convert to fraction form
    7,683.92/10,602.12 = 4,538.48/x
  3. Step 3: Cross multiply
    7,683.92x = 10,602.12 × 4,538.48
  4. Step 4: Simplify right side
    7,683.92x = 48,117,509.58
  5. Step 5: Solve for x
    x = 48,117,509.58/7,683.92
  6. Step 6: Final answer
    x = 6,262.10

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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.