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Finding the Fourth Proportional to 10,471.84, 14,457.48 and 6,938.08

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Solution

The fourth proportional to 10,471.84, 14,457.48 and 6,938.08 is: 9,578.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.84 : 14,457.48 = 6,938.08 : x
  2. Step 2: Convert to fraction form
    10,471.84/14,457.48 = 6,938.08/x
  3. Step 3: Cross multiply
    10,471.84x = 14,457.48 × 6,938.08
  4. Step 4: Simplify right side
    10,471.84x = 100,307,152.84
  5. Step 5: Solve for x
    x = 100,307,152.84/10,471.84
  6. Step 6: Final answer
    x = 9,578.75

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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.