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Finding the Fourth Proportional to 6,468.81, 8,931.32 and 4,347.50

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Solution

The fourth proportional to 6,468.81, 8,931.32 and 4,347.50 is: 6,002.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.81 : 8,931.32 = 4,347.50 : x
  2. Step 2: Convert to fraction form
    6,468.81/8,931.32 = 4,347.50/x
  3. Step 3: Cross multiply
    6,468.81x = 8,931.32 × 4,347.50
  4. Step 4: Simplify right side
    6,468.81x = 38,828,847.31
  5. Step 5: Solve for x
    x = 38,828,847.31/6,468.81
  6. Step 6: Final answer
    x = 6,002.47

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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.