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Finding the Fourth Proportional to 8,454.40, 12,681.60 and 4,307.20

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Solution

The fourth proportional to 8,454.40, 12,681.60 and 4,307.20 is: 6,460.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.40 : 12,681.60 = 4,307.20 : x
  2. Step 2: Convert to fraction form
    8,454.40/12,681.60 = 4,307.20/x
  3. Step 3: Cross multiply
    8,454.40x = 12,681.60 × 4,307.20
  4. Step 4: Simplify right side
    8,454.40x = 54,622,187.52
  5. Step 5: Solve for x
    x = 54,622,187.52/8,454.40
  6. Step 6: Final answer
    x = 6,460.80

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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.