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Finding the Fourth Proportional to 15,916.94, 23,875.90 and 7,597.84

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Solution

The fourth proportional to 15,916.94, 23,875.90 and 7,597.84 is: 11,396.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,916.94 : 23,875.90 = 7,597.84 : x
  2. Step 2: Convert to fraction form
    15,916.94/23,875.90 = 7,597.84/x
  3. Step 3: Cross multiply
    15,916.94x = 23,875.90 × 7,597.84
  4. Step 4: Simplify right side
    15,916.94x = 181,405,268.06
  5. Step 5: Solve for x
    x = 181,405,268.06/15,916.94
  6. Step 6: Final answer
    x = 11,396.99

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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.