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Finding the Fourth Proportional to 24,871.40, 37,307.10 and 7,341.20

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Solution

The fourth proportional to 24,871.40, 37,307.10 and 7,341.20 is: 11,011.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,871.40 : 37,307.10 = 7,341.20 : x
  2. Step 2: Convert to fraction form
    24,871.40/37,307.10 = 7,341.20/x
  3. Step 3: Cross multiply
    24,871.40x = 37,307.10 × 7,341.20
  4. Step 4: Simplify right side
    24,871.40x = 273,878,882.52
  5. Step 5: Solve for x
    x = 273,878,882.52/24,871.40
  6. Step 6: Final answer
    x = 11,011.80

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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.