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Finding the Fourth Proportional to 10,044, 15,071.26 and 7,293.40

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Solution

The fourth proportional to 10,044, 15,071.26 and 7,293.40 is: 10,943.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,044 : 15,071.26 = 7,293.40 : x
  2. Step 2: Convert to fraction form
    10,044/15,071.26 = 7,293.40/x
  3. Step 3: Cross multiply
    10,044x = 15,071.26 × 7,293.40
  4. Step 4: Simplify right side
    10,044x = 109,920,727.68
  5. Step 5: Solve for x
    x = 109,920,727.68/10,044
  6. Step 6: Final answer
    x = 10,943.92

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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.