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Finding the Fourth Proportional to 9,265.86, 13,903.47 and 4,648.50

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Solution

The fourth proportional to 9,265.86, 13,903.47 and 4,648.50 is: 6,975.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.86 : 13,903.47 = 4,648.50 : x
  2. Step 2: Convert to fraction form
    9,265.86/13,903.47 = 4,648.50/x
  3. Step 3: Cross multiply
    9,265.86x = 13,903.47 × 4,648.50
  4. Step 4: Simplify right side
    9,265.86x = 64,630,280.30
  5. Step 5: Solve for x
    x = 64,630,280.30/9,265.86
  6. Step 6: Final answer
    x = 6,975.10

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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.