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Finding the Fourth Proportional to 19,714.74, 27,207 and 10,762.78

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Solution

The fourth proportional to 19,714.74, 27,207 and 10,762.78 is: 14,853.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714.74 : 27,207 = 10,762.78 : x
  2. Step 2: Convert to fraction form
    19,714.74/27,207 = 10,762.78/x
  3. Step 3: Cross multiply
    19,714.74x = 27,207 × 10,762.78
  4. Step 4: Simplify right side
    19,714.74x = 292,822,955.46
  5. Step 5: Solve for x
    x = 292,822,955.46/19,714.74
  6. Step 6: Final answer
    x = 14,853.00

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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.