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Finding the Fourth Proportional to 8,457.71, 12,670.16 and 6,232.50

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Solution

The fourth proportional to 8,457.71, 12,670.16 and 6,232.50 is: 9,336.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.71 : 12,670.16 = 6,232.50 : x
  2. Step 2: Convert to fraction form
    8,457.71/12,670.16 = 6,232.50/x
  3. Step 3: Cross multiply
    8,457.71x = 12,670.16 × 6,232.50
  4. Step 4: Simplify right side
    8,457.71x = 78,966,741.04
  5. Step 5: Solve for x
    x = 78,966,741.04/8,457.71
  6. Step 6: Final answer
    x = 9,336.66

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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.