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Finding the Fourth Proportional to 7,547.99, 10,416.17 and 4,145.06

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Solution

The fourth proportional to 7,547.99, 10,416.17 and 4,145.06 is: 5,720.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.99 : 10,416.17 = 4,145.06 : x
  2. Step 2: Convert to fraction form
    7,547.99/10,416.17 = 4,145.06/x
  3. Step 3: Cross multiply
    7,547.99x = 10,416.17 × 4,145.06
  4. Step 4: Simplify right side
    7,547.99x = 43,175,576.81
  5. Step 5: Solve for x
    x = 43,175,576.81/7,547.99
  6. Step 6: Final answer
    x = 5,720.15

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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.