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Finding the Fourth Proportional to 12,802.59, 19,203.88 and 4,038.19

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Solution

The fourth proportional to 12,802.59, 19,203.88 and 4,038.19 is: 6,057.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.59 : 19,203.88 = 4,038.19 : x
  2. Step 2: Convert to fraction form
    12,802.59/19,203.88 = 4,038.19/x
  3. Step 3: Cross multiply
    12,802.59x = 19,203.88 × 4,038.19
  4. Step 4: Simplify right side
    12,802.59x = 77,548,866.57
  5. Step 5: Solve for x
    x = 77,548,866.57/12,802.59
  6. Step 6: Final answer
    x = 6,057.28

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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.