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Finding the Fourth Proportional to 7,978.96, 11,010.84 and 4,442.16

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Solution

The fourth proportional to 7,978.96, 11,010.84 and 4,442.16 is: 6,130.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.96 : 11,010.84 = 4,442.16 : x
  2. Step 2: Convert to fraction form
    7,978.96/11,010.84 = 4,442.16/x
  3. Step 3: Cross multiply
    7,978.96x = 11,010.84 × 4,442.16
  4. Step 4: Simplify right side
    7,978.96x = 48,911,913.01
  5. Step 5: Solve for x
    x = 48,911,913.01/7,978.96
  6. Step 6: Final answer
    x = 6,130.11

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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.