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Finding the Fourth Proportional to 10,495.67, 14,483.93 and 5,959.22

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Solution

The fourth proportional to 10,495.67, 14,483.93 and 5,959.22 is: 8,223.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.67 : 14,483.93 = 5,959.22 : x
  2. Step 2: Convert to fraction form
    10,495.67/14,483.93 = 5,959.22/x
  3. Step 3: Cross multiply
    10,495.67x = 14,483.93 × 5,959.22
  4. Step 4: Simplify right side
    10,495.67x = 86,312,823.12
  5. Step 5: Solve for x
    x = 86,312,823.12/10,495.67
  6. Step 6: Final answer
    x = 8,223.66

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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.