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Finding the Fourth Proportional to 28,413, 42,627.60 and 9,697.20

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Solution

The fourth proportional to 28,413, 42,627.60 and 9,697.20 is: 14,548.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,413 : 42,627.60 = 9,697.20 : x
  2. Step 2: Convert to fraction form
    28,413/42,627.60 = 9,697.20/x
  3. Step 3: Cross multiply
    28,413x = 42,627.60 × 9,697.20
  4. Step 4: Simplify right side
    28,413x = 413,368,362.72
  5. Step 5: Solve for x
    x = 413,368,362.72/28,413
  6. Step 6: Final answer
    x = 14,548.56

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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.