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Finding the Fourth Proportional to 24,938.19, 37,407.60 and 8,298.23

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Solution

The fourth proportional to 24,938.19, 37,407.60 and 8,298.23 is: 12,447.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,938.19 : 37,407.60 = 8,298.23 : x
  2. Step 2: Convert to fraction form
    24,938.19/37,407.60 = 8,298.23/x
  3. Step 3: Cross multiply
    24,938.19x = 37,407.60 × 8,298.23
  4. Step 4: Simplify right side
    24,938.19x = 310,416,681.51
  5. Step 5: Solve for x
    x = 310,416,681.51/24,938.19
  6. Step 6: Final answer
    x = 12,447.44

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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.