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Finding the Fourth Proportional to 7,124.04, 9,832.86 and 4,329

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Solution

The fourth proportional to 7,124.04, 9,832.86 and 4,329 is: 5,975.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.04 : 9,832.86 = 4,329 : x
  2. Step 2: Convert to fraction form
    7,124.04/9,832.86 = 4,329/x
  3. Step 3: Cross multiply
    7,124.04x = 9,832.86 × 4,329
  4. Step 4: Simplify right side
    7,124.04x = 42,566,450.94
  5. Step 5: Solve for x
    x = 42,566,450.94/7,124.04
  6. Step 6: Final answer
    x = 5,975.04

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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.