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Finding the Fourth Proportional to 24,473.98, 36,713.63 and 7,830.10

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Solution

The fourth proportional to 24,473.98, 36,713.63 and 7,830.10 is: 11,746.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,473.98 : 36,713.63 = 7,830.10 : x
  2. Step 2: Convert to fraction form
    24,473.98/36,713.63 = 7,830.10/x
  3. Step 3: Cross multiply
    24,473.98x = 36,713.63 × 7,830.10
  4. Step 4: Simplify right side
    24,473.98x = 287,471,394.26
  5. Step 5: Solve for x
    x = 287,471,394.26/24,473.98
  6. Step 6: Final answer
    x = 11,746.00

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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.