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Finding the Fourth Proportional to 12,457.80, 18,681.84 and 5,702.40

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Solution

The fourth proportional to 12,457.80, 18,681.84 and 5,702.40 is: 8,551.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.80 : 18,681.84 = 5,702.40 : x
  2. Step 2: Convert to fraction form
    12,457.80/18,681.84 = 5,702.40/x
  3. Step 3: Cross multiply
    12,457.80x = 18,681.84 × 5,702.40
  4. Step 4: Simplify right side
    12,457.80x = 106,531,324.42
  5. Step 5: Solve for x
    x = 106,531,324.42/12,457.80
  6. Step 6: Final answer
    x = 8,551.38

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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.