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Finding the Fourth Proportional to 6,466.48, 8,927.12 and 4,353.12

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Solution

The fourth proportional to 6,466.48, 8,927.12 and 4,353.12 is: 6,009.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.48 : 8,927.12 = 4,353.12 : x
  2. Step 2: Convert to fraction form
    6,466.48/8,927.12 = 4,353.12/x
  3. Step 3: Cross multiply
    6,466.48x = 8,927.12 × 4,353.12
  4. Step 4: Simplify right side
    6,466.48x = 38,860,824.61
  5. Step 5: Solve for x
    x = 38,860,824.61/6,466.48
  6. Step 6: Final answer
    x = 6,009.58

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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.