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Finding the Fourth Proportional to 10,465.76, 15,700.80 and 3,070.46

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Solution

The fourth proportional to 10,465.76, 15,700.80 and 3,070.46 is: 4,606.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.76 : 15,700.80 = 3,070.46 : x
  2. Step 2: Convert to fraction form
    10,465.76/15,700.80 = 3,070.46/x
  3. Step 3: Cross multiply
    10,465.76x = 15,700.80 × 3,070.46
  4. Step 4: Simplify right side
    10,465.76x = 48,208,678.37
  5. Step 5: Solve for x
    x = 48,208,678.37/10,465.76
  6. Step 6: Final answer
    x = 4,606.32

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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.