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Finding the Fourth Proportional to 7,035.92, 9,710.25 and 4,678.82

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Solution

The fourth proportional to 7,035.92, 9,710.25 and 4,678.82 is: 6,457.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.92 : 9,710.25 = 4,678.82 : x
  2. Step 2: Convert to fraction form
    7,035.92/9,710.25 = 4,678.82/x
  3. Step 3: Cross multiply
    7,035.92x = 9,710.25 × 4,678.82
  4. Step 4: Simplify right side
    7,035.92x = 45,432,511.91
  5. Step 5: Solve for x
    x = 45,432,511.91/7,035.92
  6. Step 6: Final answer
    x = 6,457.22

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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.