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Finding the Fourth Proportional to 7,492.92, 10,344.33 and 4,509.42

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Solution

The fourth proportional to 7,492.92, 10,344.33 and 4,509.42 is: 6,225.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492.92 : 10,344.33 = 4,509.42 : x
  2. Step 2: Convert to fraction form
    7,492.92/10,344.33 = 4,509.42/x
  3. Step 3: Cross multiply
    7,492.92x = 10,344.33 × 4,509.42
  4. Step 4: Simplify right side
    7,492.92x = 46,646,928.59
  5. Step 5: Solve for x
    x = 46,646,928.59/7,492.92
  6. Step 6: Final answer
    x = 6,225.47

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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.