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Finding the Fourth Proportional to 14,278.76, 21,412.82 and 4,916.16

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Solution

The fourth proportional to 14,278.76, 21,412.82 and 4,916.16 is: 7,372.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,278.76 : 21,412.82 = 4,916.16 : x
  2. Step 2: Convert to fraction form
    14,278.76/21,412.82 = 4,916.16/x
  3. Step 3: Cross multiply
    14,278.76x = 21,412.82 × 4,916.16
  4. Step 4: Simplify right side
    14,278.76x = 105,268,849.17
  5. Step 5: Solve for x
    x = 105,268,849.17/14,278.76
  6. Step 6: Final answer
    x = 7,372.41

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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.