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Finding the Fourth Proportional to 11,457.84, 17,209.80 and 10,012.08

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Solution

The fourth proportional to 11,457.84, 17,209.80 and 10,012.08 is: 15,038.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457.84 : 17,209.80 = 10,012.08 : x
  2. Step 2: Convert to fraction form
    11,457.84/17,209.80 = 10,012.08/x
  3. Step 3: Cross multiply
    11,457.84x = 17,209.80 × 10,012.08
  4. Step 4: Simplify right side
    11,457.84x = 172,305,894.38
  5. Step 5: Solve for x
    x = 172,305,894.38/11,457.84
  6. Step 6: Final answer
    x = 15,038.25

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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.