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Finding the Fourth Proportional to 10,466.81, 14,447.99 and 6,931.16

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Solution

The fourth proportional to 10,466.81, 14,447.99 and 6,931.16 is: 9,567.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.81 : 14,447.99 = 6,931.16 : x
  2. Step 2: Convert to fraction form
    10,466.81/14,447.99 = 6,931.16/x
  3. Step 3: Cross multiply
    10,466.81x = 14,447.99 × 6,931.16
  4. Step 4: Simplify right side
    10,466.81x = 100,141,329.64
  5. Step 5: Solve for x
    x = 100,141,329.64/10,466.81
  6. Step 6: Final answer
    x = 9,567.51

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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.