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Finding the Fourth Proportional to 12,843.16, 19,256.54 and 9,513.45

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Solution

The fourth proportional to 12,843.16, 19,256.54 and 9,513.45 is: 14,264.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843.16 : 19,256.54 = 9,513.45 : x
  2. Step 2: Convert to fraction form
    12,843.16/19,256.54 = 9,513.45/x
  3. Step 3: Cross multiply
    12,843.16x = 19,256.54 × 9,513.45
  4. Step 4: Simplify right side
    12,843.16x = 183,196,082.90
  5. Step 5: Solve for x
    x = 183,196,082.90/12,843.16
  6. Step 6: Final answer
    x = 14,264.10

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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.