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Finding the Fourth Proportional to 17,706.60, 26,547.60 and 7,840.50

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Solution

The fourth proportional to 17,706.60, 26,547.60 and 7,840.50 is: 11,755.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.60 : 26,547.60 = 7,840.50 : x
  2. Step 2: Convert to fraction form
    17,706.60/26,547.60 = 7,840.50/x
  3. Step 3: Cross multiply
    17,706.60x = 26,547.60 × 7,840.50
  4. Step 4: Simplify right side
    17,706.60x = 208,146,457.80
  5. Step 5: Solve for x
    x = 208,146,457.80/17,706.60
  6. Step 6: Final answer
    x = 11,755.30

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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.