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Finding the Fourth Proportional to 9,971.52, 14,944.32 and 9,816

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Solution

The fourth proportional to 9,971.52, 14,944.32 and 9,816 is: 14,711.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.52 : 14,944.32 = 9,816 : x
  2. Step 2: Convert to fraction form
    9,971.52/14,944.32 = 9,816/x
  3. Step 3: Cross multiply
    9,971.52x = 14,944.32 × 9,816
  4. Step 4: Simplify right side
    9,971.52x = 146,693,445.12
  5. Step 5: Solve for x
    x = 146,693,445.12/9,971.52
  6. Step 6: Final answer
    x = 14,711.24

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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.