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Finding the Fourth Proportional to 24,823.90, 37,228.65 and 9,027.10

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Solution

The fourth proportional to 24,823.90, 37,228.65 and 9,027.10 is: 13,538.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,823.90 : 37,228.65 = 9,027.10 : x
  2. Step 2: Convert to fraction form
    24,823.90/37,228.65 = 9,027.10/x
  3. Step 3: Cross multiply
    24,823.90x = 37,228.65 × 9,027.10
  4. Step 4: Simplify right side
    24,823.90x = 336,066,746.42
  5. Step 5: Solve for x
    x = 336,066,746.42/24,823.90
  6. Step 6: Final answer
    x = 13,538.03

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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.