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Finding the Fourth Proportional to 9,730.74, 14,595.57 and 8,647.50

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Solution

The fourth proportional to 9,730.74, 14,595.57 and 8,647.50 is: 12,970.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.74 : 14,595.57 = 8,647.50 : x
  2. Step 2: Convert to fraction form
    9,730.74/14,595.57 = 8,647.50/x
  3. Step 3: Cross multiply
    9,730.74x = 14,595.57 × 8,647.50
  4. Step 4: Simplify right side
    9,730.74x = 126,215,191.58
  5. Step 5: Solve for x
    x = 126,215,191.58/9,730.74
  6. Step 6: Final answer
    x = 12,970.77

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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.