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Finding the Fourth Proportional to 37,478, 56,217.54 and 9,776

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Solution

The fourth proportional to 37,478, 56,217.54 and 9,776 is: 14,664.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,478 : 56,217.54 = 9,776 : x
  2. Step 2: Convert to fraction form
    37,478/56,217.54 = 9,776/x
  3. Step 3: Cross multiply
    37,478x = 56,217.54 × 9,776
  4. Step 4: Simplify right side
    37,478x = 549,582,671.04
  5. Step 5: Solve for x
    x = 549,582,671.04/37,478
  6. Step 6: Final answer
    x = 14,664.14

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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.