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Finding the Fourth Proportional to 6,471.64, 8,925.72 and 4,200.50

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Solution

The fourth proportional to 6,471.64, 8,925.72 and 4,200.50 is: 5,793.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.64 : 8,925.72 = 4,200.50 : x
  2. Step 2: Convert to fraction form
    6,471.64/8,925.72 = 4,200.50/x
  3. Step 3: Cross multiply
    6,471.64x = 8,925.72 × 4,200.50
  4. Step 4: Simplify right side
    6,471.64x = 37,492,486.86
  5. Step 5: Solve for x
    x = 37,492,486.86/6,471.64
  6. Step 6: Final answer
    x = 5,793.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.