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Finding the Fourth Proportional to 10,465.76, 14,442.76 and 5,750.32

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Solution

The fourth proportional to 10,465.76, 14,442.76 and 5,750.32 is: 7,935.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.76 : 14,442.76 = 5,750.32 : x
  2. Step 2: Convert to fraction form
    10,465.76/14,442.76 = 5,750.32/x
  3. Step 3: Cross multiply
    10,465.76x = 14,442.76 × 5,750.32
  4. Step 4: Simplify right side
    10,465.76x = 83,050,491.68
  5. Step 5: Solve for x
    x = 83,050,491.68/10,465.76
  6. Step 6: Final answer
    x = 7,935.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.