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Finding the Fourth Proportional to 7,430.25, 10,253.76 and 4,118.25

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Solution

The fourth proportional to 7,430.25, 10,253.76 and 4,118.25 is: 5,683.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430.25 : 10,253.76 = 4,118.25 : x
  2. Step 2: Convert to fraction form
    7,430.25/10,253.76 = 4,118.25/x
  3. Step 3: Cross multiply
    7,430.25x = 10,253.76 × 4,118.25
  4. Step 4: Simplify right side
    7,430.25x = 42,227,547.12
  5. Step 5: Solve for x
    x = 42,227,547.12/7,430.25
  6. Step 6: Final answer
    x = 5,683.19

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Half scale
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Double scale
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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.