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Finding the Fourth Proportional to 12,984.16, 19,477.84 and 4,218.40

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Solution

The fourth proportional to 12,984.16, 19,477.84 and 4,218.40 is: 6,328.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984.16 : 19,477.84 = 4,218.40 : x
  2. Step 2: Convert to fraction form
    12,984.16/19,477.84 = 4,218.40/x
  3. Step 3: Cross multiply
    12,984.16x = 19,477.84 × 4,218.40
  4. Step 4: Simplify right side
    12,984.16x = 82,165,320.26
  5. Step 5: Solve for x
    x = 82,165,320.26/12,984.16
  6. Step 6: Final answer
    x = 6,328.12

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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.