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Finding the Fourth Proportional to 6,596,376.30, 9,894,564.45 and 5,101,541.10

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Solution

The fourth proportional to 6,596,376.30, 9,894,564.45 and 5,101,541.10 is: 7,652,311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596,376.30 : 9,894,564.45 = 5,101,541.10 : x
  2. Step 2: Convert to fraction form
    6,596,376.30/9,894,564.45 = 5,101,541.10/x
  3. Step 3: Cross multiply
    6,596,376.30x = 9,894,564.45 × 5,101,541.10
  4. Step 4: Simplify right side
    6,596,376.30x = 50,477,527,208,273.89
  5. Step 5: Solve for x
    x = 50,477,527,208,273.89/6,596,376.30
  6. Step 6: Final answer
    x = 7,652,311.65

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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.