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Finding the Fourth Proportional to 9,764.84, 13,482.50 and 8,818.76

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Solution

The fourth proportional to 9,764.84, 13,482.50 and 8,818.76 is: 12,176.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.84 : 13,482.50 = 8,818.76 : x
  2. Step 2: Convert to fraction form
    9,764.84/13,482.50 = 8,818.76/x
  3. Step 3: Cross multiply
    9,764.84x = 13,482.50 × 8,818.76
  4. Step 4: Simplify right side
    9,764.84x = 118,898,931.70
  5. Step 5: Solve for x
    x = 118,898,931.70/9,764.84
  6. Step 6: Final answer
    x = 12,176.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.