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Finding the Fourth Proportional to 11,709.60, 17,564.40 and 8,210.40

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Solution

The fourth proportional to 11,709.60, 17,564.40 and 8,210.40 is: 12,315.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.60 : 17,564.40 = 8,210.40 : x
  2. Step 2: Convert to fraction form
    11,709.60/17,564.40 = 8,210.40/x
  3. Step 3: Cross multiply
    11,709.60x = 17,564.40 × 8,210.40
  4. Step 4: Simplify right side
    11,709.60x = 144,210,749.76
  5. Step 5: Solve for x
    x = 144,210,749.76/11,709.60
  6. Step 6: Final answer
    x = 12,315.60

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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.