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Finding the Fourth Proportional to 7,802.16, 10,767 and 4,445.12

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Solution

The fourth proportional to 7,802.16, 10,767 and 4,445.12 is: 6,134.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.16 : 10,767 = 4,445.12 : x
  2. Step 2: Convert to fraction form
    7,802.16/10,767 = 4,445.12/x
  3. Step 3: Cross multiply
    7,802.16x = 10,767 × 4,445.12
  4. Step 4: Simplify right side
    7,802.16x = 47,860,553.21
  5. Step 5: Solve for x
    x = 47,860,553.21/7,802.16
  6. Step 6: Final answer
    x = 6,134.27

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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.