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Finding the Fourth Proportional to 7,815.74, 10,786 and 4,459.10

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Solution

The fourth proportional to 7,815.74, 10,786 and 4,459.10 is: 6,153.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815.74 : 10,786 = 4,459.10 : x
  2. Step 2: Convert to fraction form
    7,815.74/10,786 = 4,459.10/x
  3. Step 3: Cross multiply
    7,815.74x = 10,786 × 4,459.10
  4. Step 4: Simplify right side
    7,815.74x = 48,095,852.60
  5. Step 5: Solve for x
    x = 48,095,852.60/7,815.74
  6. Step 6: Final answer
    x = 6,153.72

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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.