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Finding the Fourth Proportional to 14,312.76, 19,751.58 and 8,025

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Solution

The fourth proportional to 14,312.76, 19,751.58 and 8,025 is: 11,074.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312.76 : 19,751.58 = 8,025 : x
  2. Step 2: Convert to fraction form
    14,312.76/19,751.58 = 8,025/x
  3. Step 3: Cross multiply
    14,312.76x = 19,751.58 × 8,025
  4. Step 4: Simplify right side
    14,312.76x = 158,506,429.50
  5. Step 5: Solve for x
    x = 158,506,429.50/14,312.76
  6. Step 6: Final answer
    x = 11,074.48

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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.