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Finding the Fourth Proportional to 37,652.25, 56,478.51 and 9,950.25

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Solution

The fourth proportional to 37,652.25, 56,478.51 and 9,950.25 is: 14,925.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,652.25 : 56,478.51 = 9,950.25 : x
  2. Step 2: Convert to fraction form
    37,652.25/56,478.51 = 9,950.25/x
  3. Step 3: Cross multiply
    37,652.25x = 56,478.51 × 9,950.25
  4. Step 4: Simplify right side
    37,652.25x = 561,975,294.13
  5. Step 5: Solve for x
    x = 561,975,294.13/37,652.25
  6. Step 6: Final answer
    x = 14,925.41

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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.