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Finding the Fourth Proportional to 13,492.01, 18,624.74 and 8,459.10

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Solution

The fourth proportional to 13,492.01, 18,624.74 and 8,459.10 is: 11,677.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.01 : 18,624.74 = 8,459.10 : x
  2. Step 2: Convert to fraction form
    13,492.01/18,624.74 = 8,459.10/x
  3. Step 3: Cross multiply
    13,492.01x = 18,624.74 × 8,459.10
  4. Step 4: Simplify right side
    13,492.01x = 157,548,495.84
  5. Step 5: Solve for x
    x = 157,548,495.84/13,492.01
  6. Step 6: Final answer
    x = 11,677.17

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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.