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Finding the Fourth Proportional to 37,482.71, 56,224.05 and 9,780.71

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Solution

The fourth proportional to 37,482.71, 56,224.05 and 9,780.71 is: 14,671.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,482.71 : 56,224.05 = 9,780.71 : x
  2. Step 2: Convert to fraction form
    37,482.71/56,224.05 = 9,780.71/x
  3. Step 3: Cross multiply
    37,482.71x = 56,224.05 × 9,780.71
  4. Step 4: Simplify right side
    37,482.71x = 549,911,128.08
  5. Step 5: Solve for x
    x = 549,911,128.08/37,482.71
  6. Step 6: Final answer
    x = 14,671.06

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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.