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Finding the Fourth Proportional to 7,492.10, 10,342.80 and 5,809.70

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Solution

The fourth proportional to 7,492.10, 10,342.80 and 5,809.70 is: 8,020.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492.10 : 10,342.80 = 5,809.70 : x
  2. Step 2: Convert to fraction form
    7,492.10/10,342.80 = 5,809.70/x
  3. Step 3: Cross multiply
    7,492.10x = 10,342.80 × 5,809.70
  4. Step 4: Simplify right side
    7,492.10x = 60,088,565.16
  5. Step 5: Solve for x
    x = 60,088,565.16/7,492.10
  6. Step 6: Final answer
    x = 8,020.26

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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.