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Finding the Fourth Proportional to 8,281.12, 12,405.12 and 4,984.24

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Solution

The fourth proportional to 8,281.12, 12,405.12 and 4,984.24 is: 7,466.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.12 : 12,405.12 = 4,984.24 : x
  2. Step 2: Convert to fraction form
    8,281.12/12,405.12 = 4,984.24/x
  3. Step 3: Cross multiply
    8,281.12x = 12,405.12 × 4,984.24
  4. Step 4: Simplify right side
    8,281.12x = 61,830,095.31
  5. Step 5: Solve for x
    x = 61,830,095.31/8,281.12
  6. Step 6: Final answer
    x = 7,466.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.