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Finding the Fourth Proportional to 8,368.16, 11,547.76 and 4,642.08

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Solution

The fourth proportional to 8,368.16, 11,547.76 and 4,642.08 is: 6,405.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,368.16 : 11,547.76 = 4,642.08 : x
  2. Step 2: Convert to fraction form
    8,368.16/11,547.76 = 4,642.08/x
  3. Step 3: Cross multiply
    8,368.16x = 11,547.76 × 4,642.08
  4. Step 4: Simplify right side
    8,368.16x = 53,605,625.74
  5. Step 5: Solve for x
    x = 53,605,625.74/8,368.16
  6. Step 6: Final answer
    x = 6,405.90

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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.