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Finding the Fourth Proportional to 14,038.61, 19,372.61 and 7,665.44

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Solution

The fourth proportional to 14,038.61, 19,372.61 and 7,665.44 is: 10,577.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,038.61 : 19,372.61 = 7,665.44 : x
  2. Step 2: Convert to fraction form
    14,038.61/19,372.61 = 7,665.44/x
  3. Step 3: Cross multiply
    14,038.61x = 19,372.61 × 7,665.44
  4. Step 4: Simplify right side
    14,038.61x = 148,499,541.27
  5. Step 5: Solve for x
    x = 148,499,541.27/14,038.61
  6. Step 6: Final answer
    x = 10,577.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.