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Finding the Fourth Proportional to 7,263.60, 10,895.40 and 6,457.20

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Solution

The fourth proportional to 7,263.60, 10,895.40 and 6,457.20 is: 9,685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263.60 : 10,895.40 = 6,457.20 : x
  2. Step 2: Convert to fraction form
    7,263.60/10,895.40 = 6,457.20/x
  3. Step 3: Cross multiply
    7,263.60x = 10,895.40 × 6,457.20
  4. Step 4: Simplify right side
    7,263.60x = 70,353,776.88
  5. Step 5: Solve for x
    x = 70,353,776.88/7,263.60
  6. Step 6: Final answer
    x = 9,685.80

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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.