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Finding the Fourth Proportional to 12,897.64, 19,345.20 and 4,130.20

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Solution

The fourth proportional to 12,897.64, 19,345.20 and 4,130.20 is: 6,194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.64 : 19,345.20 = 4,130.20 : x
  2. Step 2: Convert to fraction form
    12,897.64/19,345.20 = 4,130.20/x
  3. Step 3: Cross multiply
    12,897.64x = 19,345.20 × 4,130.20
  4. Step 4: Simplify right side
    12,897.64x = 79,899,545.04
  5. Step 5: Solve for x
    x = 79,899,545.04/12,897.64
  6. Step 6: Final answer
    x = 6,194.90

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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.