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Finding the Fourth Proportional to 7,506, 10,360.71 and 4,711.50

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Solution

The fourth proportional to 7,506, 10,360.71 and 4,711.50 is: 6,503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506 : 10,360.71 = 4,711.50 : x
  2. Step 2: Convert to fraction form
    7,506/10,360.71 = 4,711.50/x
  3. Step 3: Cross multiply
    7,506x = 10,360.71 × 4,711.50
  4. Step 4: Simplify right side
    7,506x = 48,814,485.17
  5. Step 5: Solve for x
    x = 48,814,485.17/7,506
  6. Step 6: Final answer
    x = 6,503.40

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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.