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Finding the Fourth Proportional to 25,143, 37,719.36 and 9,559.41

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Solution

The fourth proportional to 25,143, 37,719.36 and 9,559.41 is: 14,340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,143 : 37,719.36 = 9,559.41 : x
  2. Step 2: Convert to fraction form
    25,143/37,719.36 = 9,559.41/x
  3. Step 3: Cross multiply
    25,143x = 37,719.36 × 9,559.41
  4. Step 4: Simplify right side
    25,143x = 360,574,779.38
  5. Step 5: Solve for x
    x = 360,574,779.38/25,143
  6. Step 6: Final answer
    x = 14,340.96

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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.