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Finding the Fourth Proportional to 10,031.63, 15,045.74 and 3,009.74

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Solution

The fourth proportional to 10,031.63, 15,045.74 and 3,009.74 is: 4,514.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031.63 : 15,045.74 = 3,009.74 : x
  2. Step 2: Convert to fraction form
    10,031.63/15,045.74 = 3,009.74/x
  3. Step 3: Cross multiply
    10,031.63x = 15,045.74 × 3,009.74
  4. Step 4: Simplify right side
    10,031.63x = 45,283,750.46
  5. Step 5: Solve for x
    x = 45,283,750.46/10,031.63
  6. Step 6: Final answer
    x = 4,514.10

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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.