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Finding the Fourth Proportional to 10,030.66, 15,045.98 and 6,338.50

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Solution

The fourth proportional to 10,030.66, 15,045.98 and 6,338.50 is: 9,507.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030.66 : 15,045.98 = 6,338.50 : x
  2. Step 2: Convert to fraction form
    10,030.66/15,045.98 = 6,338.50/x
  3. Step 3: Cross multiply
    10,030.66x = 15,045.98 × 6,338.50
  4. Step 4: Simplify right side
    10,030.66x = 95,368,944.23
  5. Step 5: Solve for x
    x = 95,368,944.23/10,030.66
  6. Step 6: Final answer
    x = 9,507.74

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1.5x scale

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.