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Finding the Fourth Proportional to 9,688.58, 14,506.76 and 6,159.50

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Solution

The fourth proportional to 9,688.58, 14,506.76 and 6,159.50 is: 9,222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.58 : 14,506.76 = 6,159.50 : x
  2. Step 2: Convert to fraction form
    9,688.58/14,506.76 = 6,159.50/x
  3. Step 3: Cross multiply
    9,688.58x = 14,506.76 × 6,159.50
  4. Step 4: Simplify right side
    9,688.58x = 89,354,388.22
  5. Step 5: Solve for x
    x = 89,354,388.22/9,688.58
  6. Step 6: Final answer
    x = 9,222.65

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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.