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Finding the Fourth Proportional to 10,431, 14,394.79 and 5,715.32

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Solution

The fourth proportional to 10,431, 14,394.79 and 5,715.32 is: 7,887.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431 : 14,394.79 = 5,715.32 : x
  2. Step 2: Convert to fraction form
    10,431/14,394.79 = 5,715.32/x
  3. Step 3: Cross multiply
    10,431x = 14,394.79 × 5,715.32
  4. Step 4: Simplify right side
    10,431x = 82,270,831.18
  5. Step 5: Solve for x
    x = 82,270,831.18/10,431
  6. Step 6: Final answer
    x = 7,887.15

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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.