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Finding the Fourth Proportional to 24,783.72, 37,182.86 and 9,985.02

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Solution

The fourth proportional to 24,783.72, 37,182.86 and 9,985.02 is: 14,980.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,783.72 : 37,182.86 = 9,985.02 : x
  2. Step 2: Convert to fraction form
    24,783.72/37,182.86 = 9,985.02/x
  3. Step 3: Cross multiply
    24,783.72x = 37,182.86 × 9,985.02
  4. Step 4: Simplify right side
    24,783.72x = 371,271,600.76
  5. Step 5: Solve for x
    x = 371,271,600.76/24,783.72
  6. Step 6: Final answer
    x = 14,980.46

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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.