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Finding the Fourth Proportional to 8,167.40, 11,457.40 and 8,167.40

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Solution

The fourth proportional to 8,167.40, 11,457.40 and 8,167.40 is: 11,457.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.40 : 11,457.40 = 8,167.40 : x
  2. Step 2: Convert to fraction form
    8,167.40/11,457.40 = 8,167.40/x
  3. Step 3: Cross multiply
    8,167.40x = 11,457.40 × 8,167.40
  4. Step 4: Simplify right side
    8,167.40x = 93,577,168.76
  5. Step 5: Solve for x
    x = 93,577,168.76/8,167.40
  6. Step 6: Final answer
    x = 11,457.40

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.