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Finding the Fourth Proportional to 7,459.94, 10,298.94 and 6,703.40

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Solution

The fourth proportional to 7,459.94, 10,298.94 and 6,703.40 is: 9,254.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.94 : 10,298.94 = 6,703.40 : x
  2. Step 2: Convert to fraction form
    7,459.94/10,298.94 = 6,703.40/x
  3. Step 3: Cross multiply
    7,459.94x = 10,298.94 × 6,703.40
  4. Step 4: Simplify right side
    7,459.94x = 69,037,914.40
  5. Step 5: Solve for x
    x = 69,037,914.40/7,459.94
  6. Step 6: Final answer
    x = 9,254.49

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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.