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Finding the Fourth Proportional to 10,598.19, 15,897.59 and 2,807

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Solution

The fourth proportional to 10,598.19, 15,897.59 and 2,807 is: 4,210.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.19 : 15,897.59 = 2,807 : x
  2. Step 2: Convert to fraction form
    10,598.19/15,897.59 = 2,807/x
  3. Step 3: Cross multiply
    10,598.19x = 15,897.59 × 2,807
  4. Step 4: Simplify right side
    10,598.19x = 44,624,521.10
  5. Step 5: Solve for x
    x = 44,624,521.10/10,598.19
  6. Step 6: Final answer
    x = 4,210.58

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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.