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Finding the Fourth Proportional to 14,971.60, 22,455.60 and 6,205.60

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Solution

The fourth proportional to 14,971.60, 22,455.60 and 6,205.60 is: 9,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971.60 : 22,455.60 = 6,205.60 : x
  2. Step 2: Convert to fraction form
    14,971.60/22,455.60 = 6,205.60/x
  3. Step 3: Cross multiply
    14,971.60x = 22,455.60 × 6,205.60
  4. Step 4: Simplify right side
    14,971.60x = 139,350,471.36
  5. Step 5: Solve for x
    x = 139,350,471.36/14,971.60
  6. Step 6: Final answer
    x = 9,307.65

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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.