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Finding the Fourth Proportional to 15,776.04, 21,771 and 8,702.67

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Solution

The fourth proportional to 15,776.04, 21,771 and 8,702.67 is: 12,009.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,776.04 : 21,771 = 8,702.67 : x
  2. Step 2: Convert to fraction form
    15,776.04/21,771 = 8,702.67/x
  3. Step 3: Cross multiply
    15,776.04x = 21,771 × 8,702.67
  4. Step 4: Simplify right side
    15,776.04x = 189,465,828.57
  5. Step 5: Solve for x
    x = 189,465,828.57/15,776.04
  6. Step 6: Final answer
    x = 12,009.72

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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.