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Finding the Fourth Proportional to 10,470.69, 14,455.53 and 6,938.69

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Solution

The fourth proportional to 10,470.69, 14,455.53 and 6,938.69 is: 9,579.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.69 : 14,455.53 = 6,938.69 : x
  2. Step 2: Convert to fraction form
    10,470.69/14,455.53 = 6,938.69/x
  3. Step 3: Cross multiply
    10,470.69x = 14,455.53 × 6,938.69
  4. Step 4: Simplify right side
    10,470.69x = 100,302,369.18
  5. Step 5: Solve for x
    x = 100,302,369.18/10,470.69
  6. Step 6: Final answer
    x = 9,579.35

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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.