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Finding the Fourth Proportional to 6,506,956.17, 9,749,761.70 and 4,610,312.01

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Solution

The fourth proportional to 6,506,956.17, 9,749,761.70 and 4,610,312.01 is: 6,907,906.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506,956.17 : 9,749,761.70 = 4,610,312.01 : x
  2. Step 2: Convert to fraction form
    6,506,956.17/9,749,761.70 = 4,610,312.01/x
  3. Step 3: Cross multiply
    6,506,956.17x = 9,749,761.70 × 4,610,312.01
  4. Step 4: Simplify right side
    6,506,956.17x = 44,949,443,437,096.45
  5. Step 5: Solve for x
    x = 44,949,443,437,096.45/6,506,956.17
  6. Step 6: Final answer
    x = 6,907,906.29

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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.